Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200eq |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-43813878497280000 = -1 · 220 · 33 · 54 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 3 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1272033,-552715137] |
[a1,a2,a3,a4,a6] |
j |
-1389310279182025/267418692 |
j-invariant |
L |
4.2647262498292 |
L(r)(E,1)/r! |
Ω |
0.071078772800465 |
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 |
91200gw1 2850g1 91200bg2 |
Quadratic twists by: -4 8 5 |