Atkin-Lehner |
2+ 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216g |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
4186670530160448 = 26 · 36 · 116 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-611829,-184175208] |
[a1,a2,a3,a4,a6] |
j |
542883177740979648/89734879333 |
j-invariant |
L |
2.7312811448006 |
L(r)(E,1)/r! |
Ω |
0.17070504159314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216o1 13024e1 |
Quadratic twists by: -4 -3 |