Atkin-Lehner |
2+ 5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12710k |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
394010000 = 24 · 54 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -6 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-493,4056] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:42:1] [-20:87:1] |
Generators of the group modulo torsion |
j |
13212881163721/394010000 |
j-invariant |
L |
3.6884337644161 |
L(r)(E,1)/r! |
Ω |
1.6801313634395 |
Real period |
R |
0.54883115759218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680v1 114390bi1 63550z1 |
Quadratic twists by: -4 -3 5 |