Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
51480ba |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2927255760 = 24 · 39 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-378,-1107] |
[a1,a2,a3,a4,a6] |
Generators |
[22:35:1] |
Generators of the group modulo torsion |
j |
18966528/9295 |
j-invariant |
L |
7.0642148844944 |
L(r)(E,1)/r! |
Ω |
1.1379790895405 |
Real period |
R |
3.1038421309326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960h1 51480h1 |
Quadratic twists by: -4 -3 |