Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650n |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-2.6856027488162E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19298277,-32720959859] |
[a1,a2,a3,a4,a6] |
Generators |
[1120795:89147413:125] |
Generators of the group modulo torsion |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
3.8453156428258 |
L(r)(E,1)/r! |
Ω |
0.036008254384749 |
Real period |
R |
8.8991531444855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550bj1 34650ej1 |
Quadratic twists by: -3 5 |