Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bt |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-6.6252899094327E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8256991,-9937260775] |
[a1,a2,a3,a4,a6] |
Generators |
[419380:1206361:125] |
Generators of the group modulo torsion |
j |
-529176938004446588641/56314035048600000 |
j-invariant |
L |
12.360935667707 |
L(r)(E,1)/r! |
Ω |
0.044265052928464 |
Real period |
R |
7.7568940073819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070h1 |
Quadratic twists by: -7 |