Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bg |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-625012667175600 = -1 · 24 · 312 · 52 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56661,-5309964] |
[a1,a2,a3,a4,a6] |
Generators |
[264131907278:674994590645:946966168] |
Generators of the group modulo torsion |
j |
-1257372910222311424/39063291698475 |
j-invariant |
L |
5.8708411575029 |
L(r)(E,1)/r! |
Ω |
0.15443786291317 |
Real period |
R |
19.007130333999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020k1 |
Quadratic twists by: -4 |