Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600u |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1410048 |
Modular degree for the optimal curve |
Δ |
-3463621038677196800 = -1 · 215 · 52 · 134 · 236 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42312,-89464492] |
[a1,a2,a3,a4,a6] |
Generators |
[12694:1430416:1] |
Generators of the group modulo torsion |
j |
81809578178015/33824424205832 |
j-invariant |
L |
4.6086718739815 |
L(r)(E,1)/r! |
Ω |
0.11731300076391 |
Real period |
R |
0.81844294133631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14950b1 119600cn1 |
Quadratic twists by: -4 5 |