Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024u |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-8612082403056 = -1 · 24 · 34 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11- 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-389660,-93492111] |
[a1,a2,a3,a4,a6] |
j |
-230837419975936/303831 |
j-invariant |
L |
0.76434228148972 |
L(r)(E,1)/r! |
Ω |
0.095542802336159 |
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 |
8184c1 |
Quadratic twists by: -11 |