Atkin-Lehner |
2- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298z |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
38124755256082432 = 220 · 79 · 17 · 53 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 3 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-116229,-12063605] |
[a1,a2,a3,a4,a6] |
Generators |
[839:-22372:1] |
Generators of the group modulo torsion |
j |
1475975706633793/324055072768 |
j-invariant |
L |
7.8966495379133 |
L(r)(E,1)/r! |
Ω |
0.26260935754071 |
Real period |
R |
0.37587434081878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12614g1 |
Quadratic twists by: -7 |