Atkin-Lehner |
2- 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63756a |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
58910544 = 24 · 33 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1116,14345] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-21:1] |
Generators of the group modulo torsion |
j |
355821797376/136367 |
j-invariant |
L |
4.2500431409906 |
L(r)(E,1)/r! |
Ω |
1.9423196543628 |
Real period |
R |
0.36468792449417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63756c1 |
Quadratic twists by: -3 |