Atkin-Lehner |
2+ 3- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254s |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-315534901248 = -1 · 215 · 37 · 7 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,972,-24624] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2064:1] |
Generators of the group modulo torsion |
j |
139233463487/432832512 |
j-invariant |
L |
4.0721579928036 |
L(r)(E,1)/r! |
Ω |
0.49459409242294 |
Real period |
R |
4.116666627522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26418t1 |
Quadratic twists by: -3 |