Atkin-Lehner |
2+ 3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bg |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
37392000000 = 210 · 3 · 56 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-951,6298] |
[a1,a2,a3,a4,a6] |
Generators |
[88:734:1] |
Generators of the group modulo torsion |
j |
6078390625/2393088 |
j-invariant |
L |
4.8110226091559 |
L(r)(E,1)/r! |
Ω |
1.050329117044 |
Real period |
R |
4.5804905782002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999678369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4674e1 |
Quadratic twists by: 5 |