Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11760ba |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-6535790097580800 = -1 · 28 · 311 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35215,2954475] |
[a1,a2,a3,a4,a6] |
Generators |
[310:6615:1] |
Generators of the group modulo torsion |
j |
3272428544/4428675 |
j-invariant |
L |
5.9203931721563 |
L(r)(E,1)/r! |
Ω |
0.28486656029137 |
Real period |
R |
0.31489454837767 |
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 |
5880e1 47040du1 35280w1 58800a1 |
Quadratic twists by: -4 8 -3 5 |