Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950hv |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-781409768048437500 = -1 · 22 · 36 · 58 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,38562,-42427008] |
[a1,a2,a3,a4,a6] |
j |
3449795831/425079900 |
j-invariant |
L |
3.2212245389229 |
L(r)(E,1)/r! |
Ω |
0.13421770827258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990q1 17850bi1 |
Quadratic twists by: 5 -7 |