Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
49608s |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1130496 |
Modular degree for the optimal curve |
Δ |
-2505898648051329024 = -1 · 211 · 314 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -1 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3501291,2522832518] |
[a1,a2,a3,a4,a6] |
Generators |
[1102:1638:1] |
Generators of the group modulo torsion |
j |
-3179441611281643346/1678440773997 |
j-invariant |
L |
8.1949024127493 |
L(r)(E,1)/r! |
Ω |
0.25389799614597 |
Real period |
R |
2.6896964322766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99216s1 16536c1 |
Quadratic twists by: -4 -3 |