Atkin-Lehner |
2- 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
59148n |
Isogeny class |
Conductor |
59148 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-901428130952887536 = -1 · 24 · 36 · 317 · 532 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-365409,96513741] |
[a1,a2,a3,a4,a6] |
Generators |
[60:8649:1] |
Generators of the group modulo torsion |
j |
-462608832626848512/77282933037799 |
j-invariant |
L |
3.1399048240572 |
L(r)(E,1)/r! |
Ω |
0.26980306268161 |
Real period |
R |
0.41563448866056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6572e1 |
Quadratic twists by: -3 |