Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30660l |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
3976847969850000 = 24 · 33 · 55 · 79 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301586,63575085] |
[a1,a2,a3,a4,a6] |
Generators |
[301:399:1] |
Generators of the group modulo torsion |
j |
189600160665834874624/248552998115625 |
j-invariant |
L |
5.5646341546927 |
L(r)(E,1)/r! |
Ω |
0.43917878812656 |
Real period |
R |
4.2235146635309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122640bc1 91980y1 |
Quadratic twists by: -4 -3 |