Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216k |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-731991371776 = -1 · 212 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1111,-38249] |
[a1,a2,a3,a4,a6] |
Generators |
[25:76:1] [51:392:1] |
Generators of the group modulo torsion |
j |
314432/1519 |
j-invariant |
L |
6.2392229289995 |
L(r)(E,1)/r! |
Ω |
0.45397197834075 |
Real period |
R |
3.435907515328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216z1 48608d1 13888l1 |
Quadratic twists by: -4 8 -7 |