Atkin-Lehner |
2- 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
37488r |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2133974709504 = 28 · 36 · 115 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11- -5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137765,19727289] |
[a1,a2,a3,a4,a6] |
Generators |
[-400:3267:1] [205:-242:1] |
Generators of the group modulo torsion |
j |
1129545133666533376/8335838709 |
j-invariant |
L |
7.5212624520642 |
L(r)(E,1)/r! |
Ω |
0.73849129720983 |
Real period |
R |
0.50923162402058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9372c1 112464u1 |
Quadratic twists by: -4 -3 |