Atkin-Lehner |
2- 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330by |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-1.0146708062208E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,86503,-15325732231] |
[a1,a2,a3,a4,a6] |
Generators |
[2727:70636:1] |
Generators of the group modulo torsion |
j |
98196136043226551/139186667520000000000 |
j-invariant |
L |
9.1174059745605 |
L(r)(E,1)/r! |
Ω |
0.048799864092243 |
Real period |
R |
0.34598631476021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110o1 |
Quadratic twists by: -3 |