Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400c |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
71250000 = 24 · 3 · 57 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2383,-43988] |
[a1,a2,a3,a4,a6] |
Generators |
[372:7100:1] |
Generators of the group modulo torsion |
j |
5988775936/285 |
j-invariant |
L |
2.9939394962814 |
L(r)(E,1)/r! |
Ω |
0.6832892655166 |
Real period |
R |
4.3816574434516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800bh1 91200eb1 34200ck1 2280j1 |
Quadratic twists by: -4 8 -3 5 |