Atkin-Lehner |
2- 3+ 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bg |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-636682728150504 = -1 · 23 · 33 · 76 · 292 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -7 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11044,-1131577] |
[a1,a2,a3,a4,a6] |
j |
5517927723968829/23580841783352 |
j-invariant |
L |
6.2236779014897 |
L(r)(E,1)/r! |
Ω |
0.25931990732978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113274i2 |
Quadratic twists by: -3 |