Atkin-Lehner |
2+ 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7378b |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
60440576 = 214 · 7 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 4 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-120,326] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] |
Generators of the group modulo torsion |
j |
188822850553/60440576 |
j-invariant |
L |
2.2951252686239 |
L(r)(E,1)/r! |
Ω |
1.8228605495344 |
Real period |
R |
2.5181578143321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59024u1 66402be1 51646r1 125426k1 |
Quadratic twists by: -4 -3 -7 17 |