Atkin-Lehner |
2- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13640f |
Isogeny class |
Conductor |
13640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-363096800000 = -1 · 28 · 55 · 114 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 4 11+ -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,692,28132] |
[a1,a2,a3,a4,a6] |
Generators |
[24:242:1] |
Generators of the group modulo torsion |
j |
143153519616/1418346875 |
j-invariant |
L |
2.7139343211898 |
L(r)(E,1)/r! |
Ω |
0.70193386497466 |
Real period |
R |
0.96659188871297 |
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 |
27280b1 109120s1 122760bc1 68200e1 |
Quadratic twists by: -4 8 -3 5 |