Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
112360a |
Isogeny class |
Conductor |
112360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2289600 |
Modular degree for the optimal curve |
Δ |
-318769614906168320 = -1 · 210 · 5 · 538 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 -6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,148877,-15780962] |
[a1,a2,a3,a4,a6] |
j |
5724/5 |
j-invariant |
L |
0.33625150028246 |
L(r)(E,1)/r! |
Ω |
0.16812561980799 |
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 |
112360f1 |
Quadratic twists by: 53 |