Atkin-Lehner |
2+ 3- 7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298q |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-14064190672896 = -1 · 212 · 312 · 7 · 13 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 6 13- -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5796,-62384] |
[a1,a2,a3,a4,a6] |
j |
29535148948031/19292442624 |
j-invariant |
L |
3.2173107886575 |
L(r)(E,1)/r! |
Ω |
0.40216394067876 |
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 |
38766ba1 |
Quadratic twists by: -3 |