Atkin-Lehner |
2- 3+ 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370ba |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
195 |
Product of Tamagawa factors cp |
deg |
1990560 |
Modular degree for the optimal curve |
Δ |
1.5404400045942E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 4 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3403400,-1509551863] |
[a1,a2,a3,a4,a6] |
Generators |
[-1255:28681:1] |
Generators of the group modulo torsion |
j |
4359761216437217800809601/1540440004594232401920 |
j-invariant |
L |
7.728259407613 |
L(r)(E,1)/r! |
Ω |
0.11439031276095 |
Real period |
R |
0.34646377450723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97110o1 |
Quadratic twists by: -3 |