Atkin-Lehner |
2- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
7670j |
Isogeny class |
Conductor |
7670 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-25924600000 = -1 · 26 · 55 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- 1 1 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-262,-7851] |
[a1,a2,a3,a4,a6] |
Generators |
[27:51:1] |
Generators of the group modulo torsion |
j |
-1981858514481/25924600000 |
j-invariant |
L |
6.5478157208702 |
L(r)(E,1)/r! |
Ω |
0.50853960563275 |
Real period |
R |
0.14306360252737 |
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 |
61360q1 69030k1 38350c1 99710a1 |
Quadratic twists by: -4 -3 5 13 |