Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600bb |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-5189226120000000000 = -1 · 212 · 310 · 510 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 5 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,-109600000] |
[a1,a2,a3,a4,a6] |
j |
-1600/177957 |
j-invariant |
L |
3.5406782487146 |
L(r)(E,1)/r! |
Ω |
0.11064619742659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600be1 31200bh1 93600fd1 |
Quadratic twists by: -4 -3 5 |