Atkin-Lehner |
5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98315i |
Isogeny class |
Conductor |
98315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96096 |
Modular degree for the optimal curve |
Δ |
-775752639515 = -1 · 5 · 7 · 536 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3745,99121] |
[a1,a2,a3,a4,a6] |
Generators |
[3908:19631:64] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
5.207881076163 |
L(r)(E,1)/r! |
Ω |
0.86897055792098 |
Real period |
R |
2.9965808602856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35a3 |
Quadratic twists by: 53 |