Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656df |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1239915812357376 = 28 · 39 · 75 · 114 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75181,7726343] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:-3234:1] |
Generators of the group modulo torsion |
j |
12538427613184/330812181 |
j-invariant |
L |
7.3466519946598 |
L(r)(E,1)/r! |
Ω |
0.48364017202456 |
Real period |
R |
0.056260467546639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164e1 121968fn1 40656ck1 |
Quadratic twists by: -4 -3 -11 |