Atkin-Lehner |
2+ 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080s |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-6615402750000 = -1 · 24 · 32 · 56 · 113 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5431,195800] |
[a1,a2,a3,a4,a6] |
Generators |
[412:8250:1] |
Generators of the group modulo torsion |
j |
-1107447383087104/413462671875 |
j-invariant |
L |
8.7001651408902 |
L(r)(E,1)/r! |
Ω |
0.70569412716303 |
Real period |
R |
2.0547535604389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62040n1 |
Quadratic twists by: -4 |