Atkin-Lehner |
5+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123025k |
Isogeny class |
Conductor |
123025 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-333228975078125 = -1 · 57 · 75 · 193 · 37 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- -6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8312,829117] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:269:1] [-354:5077:8] |
Generators of the group modulo torsion |
j |
4064592619079/21326654405 |
j-invariant |
L |
8.7261231216151 |
L(r)(E,1)/r! |
Ω |
0.38983140508494 |
Real period |
R |
0.37307252146917 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24605c1 |
Quadratic twists by: 5 |