Atkin-Lehner |
2+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
49400k |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
-494000 = -1 · 24 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5- 5 -6 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-490,-4175] |
[a1,a2,a3,a4,a6] |
j |
-6505519104/247 |
j-invariant |
L |
2.0294555368862 |
L(r)(E,1)/r! |
Ω |
0.50736388440734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800z1 49400z1 |
Quadratic twists by: -4 5 |