Atkin-Lehner |
3+ 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
70725g |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-25885482609375 = -1 · 34 · 56 · 233 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -6 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3262,235406] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:473:1] |
Generators of the group modulo torsion |
j |
245667233447/1656670887 |
j-invariant |
L |
1.8634870677014 |
L(r)(E,1)/r! |
Ω |
0.48637430403892 |
Real period |
R |
0.63856411657125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829g1 |
Quadratic twists by: 5 |