Atkin-Lehner |
2+ 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97526a |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5075136 |
Modular degree for the optimal curve |
Δ |
-3.953764424188E+21 |
Discriminant |
Eigenvalues |
2+ -2 -1 -1 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2397491,-2666379960] |
[a1,a2,a3,a4,a6] |
Generators |
[1108:36196:1] |
Generators of the group modulo torsion |
j |
646339596390181/1676782075904 |
j-invariant |
L |
1.7350647577429 |
L(r)(E,1)/r! |
Ω |
0.071767853726488 |
Real period |
R |
6.0440178241409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97526r1 |
Quadratic twists by: -11 |