Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520bd |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2363904 |
Modular degree for the optimal curve |
Δ |
1.2556423695976E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -5 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-695045,143565475] |
[a1,a2,a3,a4,a6] |
Generators |
[150:6535:1] |
Generators of the group modulo torsion |
j |
369664/125 |
j-invariant |
L |
3.4738185601727 |
L(r)(E,1)/r! |
Ω |
0.20700885507376 |
Real period |
R |
5.5936715035099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998830443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520cu1 14440f1 115520t1 |
Quadratic twists by: -4 8 -19 |