Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200bo |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-24698056173750000 = -1 · 24 · 319 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116175,17013625] |
[a1,a2,a3,a4,a6] |
j |
-951468070144/135517455 |
j-invariant |
L |
2.9250936828935 |
L(r)(E,1)/r! |
Ω |
0.36563671075534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600ce1 20400bj1 12240y1 |
Quadratic twists by: -4 -3 5 |