Atkin-Lehner |
3- 5+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85095j |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60752384 |
Modular degree for the optimal curve |
Δ |
4.9300396442413E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 -4 3 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2388492723,44929748232859] |
[a1,a2,a3,a4,a6] |
j |
2067130767758752726326679638016/67627429962158203125 |
j-invariant |
L |
0.33192716848285 |
L(r)(E,1)/r! |
Ω |
0.082981824696893 |
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 |
28365c1 |
Quadratic twists by: -3 |