Atkin-Lehner |
2+ 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bb |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1224000 |
Modular degree for the optimal curve |
Δ |
-22057920000000000 = -1 · 215 · 34 · 510 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,35299,6677048] |
[a1,a2,a3,a4,a6] |
j |
498113785775/2258731008 |
j-invariant |
L |
1.0937592201283 |
L(r)(E,1)/r! |
Ω |
0.27343993555638 |
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 |
127650cu1 |
Quadratic twists by: 5 |