Atkin-Lehner |
2- 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658cv |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-242910901567488 = -1 · 225 · 3 · 72 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73599,-7727847] |
[a1,a2,a3,a4,a6] |
j |
-899795343993271873/4957365338112 |
j-invariant |
L |
3.6220005288394 |
L(r)(E,1)/r! |
Ω |
0.1448800158714 |
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 |
119658cb1 |
Quadratic twists by: -7 |