Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200l |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-130680000000000 = -1 · 212 · 33 · 510 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 11- 5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315000,68050000] |
[a1,a2,a3,a4,a6] |
j |
-3200601600/121 |
j-invariant |
L |
4.3852516110192 |
L(r)(E,1)/r! |
Ω |
0.54815644833957 |
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 |
79200f1 79200cp1 79200db1 |
Quadratic twists by: -4 -3 5 |