Atkin-Lehner |
2- 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650by |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1202688 |
Modular degree for the optimal curve |
Δ |
-2599994746406250 = -1 · 2 · 33 · 57 · 233 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-163338,-25594719] |
[a1,a2,a3,a4,a6] |
j |
-30843634846125529/166399663770 |
j-invariant |
L |
0.23740294086678 |
L(r)(E,1)/r! |
Ω |
0.11870189022145 |
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 |
25530o1 |
Quadratic twists by: 5 |