Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70180g |
Isogeny class |
Conductor |
70180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
1745069927155280 = 24 · 5 · 1110 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164721,-25708256] |
[a1,a2,a3,a4,a6] |
Generators |
[11755:1273767:1] |
Generators of the group modulo torsion |
j |
17438019764224/61565405 |
j-invariant |
L |
3.4847084223561 |
L(r)(E,1)/r! |
Ω |
0.23703053460046 |
Real period |
R |
2.4502528248647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6380a1 |
Quadratic twists by: -11 |