Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680n |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-610537498297056000 = -1 · 28 · 318 · 53 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65599,37055115] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:4131:1] |
Generators of the group modulo torsion |
j |
121946343657061376/2384912102722875 |
j-invariant |
L |
8.9325847456413 |
L(r)(E,1)/r! |
Ω |
0.21607686557081 |
Real period |
R |
2.29665821331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48840p1 |
Quadratic twists by: -4 |