Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096x |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-56236254953472 = -1 · 225 · 36 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11+ 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9501,-55838] |
[a1,a2,a3,a4,a6] |
Generators |
[498:7051:8] |
Generators of the group modulo torsion |
j |
31764658463/18833408 |
j-invariant |
L |
7.475661012634 |
L(r)(E,1)/r! |
Ω |
0.36726451503327 |
Real period |
R |
5.088744424408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3762j1 120384dv1 3344i1 |
Quadratic twists by: -4 8 -3 |