Atkin-Lehner |
5+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
99715g |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1889348875506785 = 5 · 78 · 116 · 37 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30994,-195513] |
[a1,a2,a3,a4,a6] |
Generators |
[2510:35393:8] |
Generators of the group modulo torsion |
j |
27986475935881/16059200465 |
j-invariant |
L |
4.0016533288221 |
L(r)(E,1)/r! |
Ω |
0.39066299249778 |
Real period |
R |
3.414412111368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999242291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245c1 |
Quadratic twists by: -7 |