Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650q |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
932230551656250000 = 24 · 318 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-263817,-23646659] |
[a1,a2,a3,a4,a6] |
Generators |
[614:6443:1] |
Generators of the group modulo torsion |
j |
178272935636041/81841914000 |
j-invariant |
L |
3.8046437476876 |
L(r)(E,1)/r! |
Ω |
0.22007093834035 |
Real period |
R |
2.1610325836187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bl1 6930ba1 |
Quadratic twists by: -3 5 |