Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3520x |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-1802240 = -1 · 215 · 5 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,65] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
2.4920189248593 |
L(r)(E,1)/r! |
Ω |
2.1178866780977 |
Real period |
R |
0.29416339299816 |
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 |
3520q1 1760k1 31680dl1 17600ce1 |
Quadratic twists by: -4 8 -3 5 |