Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475bm |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
236253898125 = 33 · 54 · 77 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6533,-199732] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:24:1] [96:220:1] |
Generators of the group modulo torsion |
j |
419430400/3213 |
j-invariant |
L |
7.6443714352529 |
L(r)(E,1)/r! |
Ω |
0.53127140040175 |
Real period |
R |
3.5972063569968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475bq1 8925bb1 |
Quadratic twists by: 5 -7 |