Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950dc |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
929280 |
Modular degree for the optimal curve |
Δ |
-1049580000000000 = -1 · 211 · 32 · 510 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2826,1559548] |
[a1,a2,a3,a4,a6] |
j |
-744775/313344 |
j-invariant |
L |
1.5962750751585 |
L(r)(E,1)/r! |
Ω |
0.3990684215683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950go1 124950q1 |
Quadratic twists by: 5 -7 |