Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ew |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-13023132726067200 = -1 · 229 · 36 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58367,-849503] |
[a1,a2,a3,a4,a6] |
Generators |
[16:297:1] |
Generators of the group modulo torsion |
j |
3355354844375/1987172352 |
j-invariant |
L |
6.2993991022357 |
L(r)(E,1)/r! |
Ω |
0.23341392152431 |
Real period |
R |
2.2490086356482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800cj1 13200cd1 52800hu1 |
Quadratic twists by: -4 8 5 |