Atkin-Lehner |
2+ 3- 7+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274k |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
-34996107531546 = -1 · 2 · 310 · 73 · 29 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 5 -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4536,258066] |
[a1,a2,a3,a4,a6] |
j |
14156681599871/48005634474 |
j-invariant |
L |
0.92514142179938 |
L(r)(E,1)/r! |
Ω |
0.46257075618057 |
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 |
37758q1 |
Quadratic twists by: -3 |