Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200fr |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1467013939200000000 = 220 · 36 · 58 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9192675,10727649250] |
[a1,a2,a3,a4,a6] |
j |
1841373668746009/31443200 |
j-invariant |
L |
2.961719895221 |
L(r)(E,1)/r! |
Ω |
0.24680999163648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650y1 6800m1 12240ca1 |
Quadratic twists by: -4 -3 5 |