Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950fx |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
1.1415406117493E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30450463,-39261244219] |
[a1,a2,a3,a4,a6] |
j |
1698623579042432281/620987846492160 |
j-invariant |
L |
2.1195887968822 |
L(r)(E,1)/r! |
Ω |
0.066237138226469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24990w1 17850bs1 |
Quadratic twists by: 5 -7 |