Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450ca |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
544 |
Product of Tamagawa factors cp |
deg |
31334400 |
Modular degree for the optimal curve |
Δ |
-1.8209161684663E+25 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38806188,-225410577008] |
[a1,a2,a3,a4,a6] |
j |
-3515753329334380009/9905620513718272 |
j-invariant |
L |
3.8123332546441 |
L(r)(E,1)/r! |
Ω |
0.028031861860188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018g1 14350k1 |
Quadratic twists by: 5 -7 |