Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15200a |
Isogeny class |
Conductor |
15200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
45125000000 = 26 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -4 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4325,-109000] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1254:1] |
Generators of the group modulo torsion |
j |
8947094976/45125 |
j-invariant |
L |
3.8993100180842 |
L(r)(E,1)/r! |
Ω |
0.5888909377185 |
Real period |
R |
3.3107234025293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15200e1 30400bn2 3040c1 |
Quadratic twists by: -4 8 5 |