Atkin-Lehner |
2- 3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850cb |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-312952320000000000 = -1 · 218 · 32 · 510 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,65162,-26115469] |
[a1,a2,a3,a4,a6] |
j |
1958332746742631/20028948480000 |
j-invariant |
L |
5.4319867103109 |
L(r)(E,1)/r! |
Ω |
0.15088852628634 |
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 |
23970d1 |
Quadratic twists by: 5 |