Atkin-Lehner |
2- 3- 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
52614i |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
5045893056 = 26 · 36 · 372 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 3 0 -5 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42296,-3337477] |
[a1,a2,a3,a4,a6] |
Generators |
[-3201:1595:27] |
Generators of the group modulo torsion |
j |
11478481794175033/6921664 |
j-invariant |
L |
12.432750622299 |
L(r)(E,1)/r! |
Ω |
0.33290900921271 |
Real period |
R |
3.1121493356575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5846a1 |
Quadratic twists by: -3 |