Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2400i |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-307200 = -1 · 212 · 3 · 52 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,-37] |
[a1,a2,a3,a4,a6] |
j |
-2560/3 |
j-invariant |
L |
2.3904986859471 |
L(r)(E,1)/r! |
Ω |
1.1952493429736 |
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 |
2400b1 4800bj1 7200bh1 2400w1 |
Quadratic twists by: -4 8 -3 5 |