Atkin-Lehner |
2+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
97088g |
Isogeny class |
Conductor |
97088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3980608 = -1 · 26 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 2 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[17:76:1] [58:205:8] |
Generators of the group modulo torsion |
j |
78402752/62197 |
j-invariant |
L |
6.650997383652 |
L(r)(E,1)/r! |
Ω |
1.3756120352573 |
Real period |
R |
9.6698737892866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97088f1 48544b2 |
Quadratic twists by: -4 8 |