Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14800c |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-148000000000 = -1 · 211 · 59 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -3 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,18512] |
[a1,a2,a3,a4,a6] |
Generators |
[82:750:1] |
Generators of the group modulo torsion |
j |
-2/4625 |
j-invariant |
L |
7.1755166568334 |
L(r)(E,1)/r! |
Ω |
0.81888708732611 |
Real period |
R |
1.0953153322187 |
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 |
7400b1 59200dg1 2960d1 |
Quadratic twists by: -4 8 5 |