Atkin-Lehner |
2- 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210t |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
2442000 = 24 · 3 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3181,-70381] |
[a1,a2,a3,a4,a6] |
Generators |
[49352:347895:512] |
Generators of the group modulo torsion |
j |
3559780767858769/2442000 |
j-invariant |
L |
5.7350818985552 |
L(r)(E,1)/r! |
Ω |
0.6357083914125 |
Real period |
R |
9.0215607911234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680bz1 36630n1 61050ba1 |
Quadratic twists by: -4 -3 5 |