Atkin-Lehner |
2+ 3- 7+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115038l |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-7248756510072 = -1 · 23 · 310 · 75 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2673,117445] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:290:1] |
Generators of the group modulo torsion |
j |
2896687631375/9943424568 |
j-invariant |
L |
4.5313000310542 |
L(r)(E,1)/r! |
Ω |
0.52769134476629 |
Real period |
R |
2.146756830514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38346h1 |
Quadratic twists by: -3 |