Atkin-Lehner |
2- 3+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812b |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.0342918673686E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36809991,-85550527026] |
[a1,a2,a3,a4,a6] |
Generators |
[-17044742754:-96659504118:4826809] |
Generators of the group modulo torsion |
j |
1094686061051396319984/6021796782456169 |
j-invariant |
L |
3.6199416869059 |
L(r)(E,1)/r! |
Ω |
0.061312915830087 |
Real period |
R |
14.760110704904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999605954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97812d2 |
Quadratic twists by: -3 |