Atkin-Lehner |
2+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97088c |
Isogeny class |
Conductor |
97088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-8710617300992 = -1 · 222 · 373 · 41 |
Discriminant |
Eigenvalues |
2+ -1 0 -4 3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5087,-27487] |
[a1,a2,a3,a4,a6] |
Generators |
[79:928:1] |
Generators of the group modulo torsion |
j |
55524368375/33228368 |
j-invariant |
L |
3.5384708130794 |
L(r)(E,1)/r! |
Ω |
0.42749231483122 |
Real period |
R |
4.1386367673964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999694774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97088k1 3034a1 |
Quadratic twists by: -4 8 |