Atkin-Lehner |
2- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37510j |
Isogeny class |
Conductor |
37510 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
31099200 |
Modular degree for the optimal curve |
Δ |
-1.5329421619836E+27 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11+ 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1951387391,-33232599129575] |
[a1,a2,a3,a4,a6] |
Generators |
[2868678:4856715661:1] |
Generators of the group modulo torsion |
j |
-348513839837847491289299/650117120000000000 |
j-invariant |
L |
6.1270166237386 |
L(r)(E,1)/r! |
Ω |
0.011356254971222 |
Real period |
R |
4.3510316129935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37510a1 |
Quadratic twists by: -11 |