Atkin-Lehner |
2+ 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7130d |
Isogeny class |
Conductor |
7130 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
61824 |
Modular degree for the optimal curve |
Δ |
-66913378906250000 = -1 · 24 · 514 · 23 · 313 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 2 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,51563,11622461] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:3119:1] |
Generators of the group modulo torsion |
j |
15160903498132424999/66913378906250000 |
j-invariant |
L |
2.8900439753904 |
L(r)(E,1)/r! |
Ω |
0.24903571082922 |
Real period |
R |
0.13815402339991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57040o1 64170bc1 35650m1 |
Quadratic twists by: -4 -3 5 |