Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848g |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
2970335001724992 = 26 · 39 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1447281,670153176] |
[a1,a2,a3,a4,a6] |
j |
150229394496/1331 |
j-invariant |
L |
1.6247708038826 |
L(r)(E,1)/r! |
Ω |
0.40619270097408 |
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 |
34848h1 69696em1 34848bk1 3168s1 |
Quadratic twists by: -4 8 -3 -11 |