Atkin-Lehner |
2+ 5+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
108650c |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-173840000000000000 = -1 · 216 · 513 · 41 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -3 -1 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-149876,30006898] |
[a1,a2,a3,a4,a6] |
j |
-23828450490892081/11125760000000 |
j-invariant |
L |
1.2002025280845 |
L(r)(E,1)/r! |
Ω |
0.30005076956744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21730g1 |
Quadratic twists by: 5 |