Atkin-Lehner |
2- 3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
20394ba |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
86348848608 = 25 · 39 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- -5 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3434,77001] |
[a1,a2,a3,a4,a6] |
Generators |
[23:87:1] |
Generators of the group modulo torsion |
j |
6141556990297/118448352 |
j-invariant |
L |
9.6439920115368 |
L(r)(E,1)/r! |
Ω |
1.0774100266654 |
Real period |
R |
0.29836960157082 |
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 |
6798c1 |
Quadratic twists by: -3 |