Atkin-Lehner |
2+ 5+ 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850a |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
120576 |
Modular degree for the optimal curve |
Δ |
26096562500 = 22 · 57 · 372 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-775,2625] |
[a1,a2,a3,a4,a6] |
j |
3301293169/1670180 |
j-invariant |
L |
2.1035620358254 |
L(r)(E,1)/r! |
Ω |
1.0517809228211 |
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 |
22570g1 |
Quadratic twists by: 5 |