Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216n |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-22120625078272 = -1 · 226 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 0 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6580,-94864] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1023:8] |
Generators of the group modulo torsion |
j |
350402625/246016 |
j-invariant |
L |
6.3150394627972 |
L(r)(E,1)/r! |
Ω |
0.38281940748009 |
Real period |
R |
4.1240329870365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216bi1 3038c1 97216c1 |
Quadratic twists by: -4 8 -7 |