Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352bq |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
104087808 |
Modular degree for the optimal curve |
Δ |
-6.8095955646581E+26 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11+ 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4750876280,-126047923817004] |
[a1,a2,a3,a4,a6] |
Generators |
[135169332661054387698241290479156933871491982611399593333472634692:18415189545339924451701865185698384197485860090244005717632324539762:1528779070700696501168822230425726553926783659326737329535953] |
Generators of the group modulo torsion |
j |
-1227865396922313997931/70506183131136 |
j-invariant |
L |
10.815359117089 |
L(r)(E,1)/r! |
Ω |
0.0090923183345138 |
Real period |
R |
99.125425800685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794a1 110352br1 |
Quadratic twists by: -4 -11 |