Atkin-Lehner |
2- 3+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
76368f |
Isogeny class |
Conductor |
76368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-26901086208 = -1 · 217 · 3 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 -3 5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,712,-3216] |
[a1,a2,a3,a4,a6] |
Generators |
[25:172:1] |
Generators of the group modulo torsion |
j |
9731810375/6567648 |
j-invariant |
L |
5.0515170666398 |
L(r)(E,1)/r! |
Ω |
0.67376614641098 |
Real period |
R |
1.874358445417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9546d1 |
Quadratic twists by: -4 |