Atkin-Lehner |
5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
28975g |
Isogeny class |
Conductor |
28975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
197760 |
Modular degree for the optimal curve |
Δ |
-8423123046875 = -1 · 59 · 19 · 613 |
Discriminant |
Eigenvalues |
-2 -3 5- 1 -4 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33625,-2377344] |
[a1,a2,a3,a4,a6] |
Generators |
[239:1799:1] [300:3812:1] |
Generators of the group modulo torsion |
j |
-2152685334528/4312639 |
j-invariant |
L |
2.7899676180185 |
L(r)(E,1)/r! |
Ω |
0.17625922187133 |
Real period |
R |
2.6381292171065 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28975f1 |
Quadratic twists by: 5 |