Atkin-Lehner |
2- 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210w |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
439560 = 23 · 33 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -7 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-556,5000] |
[a1,a2,a3,a4,a6] |
j |
19010647320769/439560 |
j-invariant |
L |
2.7512337923481 |
L(r)(E,1)/r! |
Ω |
2.7512337923481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97680bc1 36630r1 61050a1 |
Quadratic twists by: -4 -3 5 |