Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104f |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
53265662208 = 28 · 39 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1215,11934] |
[a1,a2,a3,a4,a6] |
Generators |
[10:28:1] |
Generators of the group modulo torsion |
j |
39366000/10571 |
j-invariant |
L |
7.1186285403605 |
L(r)(E,1)/r! |
Ω |
1.0470836784964 |
Real period |
R |
3.3992643981221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24552j1 49104c1 |
Quadratic twists by: -4 -3 |