Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600bi |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-259845693120000000 = -1 · 212 · 37 · 57 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121800,-29482000] |
[a1,a2,a3,a4,a6] |
Generators |
[740:-16900:1] |
Generators of the group modulo torsion |
j |
-4283098624/5569395 |
j-invariant |
L |
7.2974350242143 |
L(r)(E,1)/r! |
Ω |
0.12186715733272 |
Real period |
R |
0.74850304078603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600dx1 31200bj1 18720bk1 |
Quadratic twists by: -4 -3 5 |