Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828l |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-8559077447272176 = -1 · 24 · 33 · 11 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 11- -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28390,4043049] |
[a1,a2,a3,a4,a6] |
j |
87808/297 |
j-invariant |
L |
1.7548860425093 |
L(r)(E,1)/r! |
Ω |
0.2924810057715 |
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 |
69828e1 |
Quadratic twists by: -23 |