Atkin-Lehner |
3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34485a |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1649491589295 = -1 · 34 · 5 · 118 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3753,-109512] |
[a1,a2,a3,a4,a6] |
j |
-3301293169/931095 |
j-invariant |
L |
2.404605905115 |
L(r)(E,1)/r! |
Ω |
0.30057573813938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455ba1 3135a1 |
Quadratic twists by: -3 -11 |