Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80937j |
Isogeny class |
Conductor |
80937 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-731225083689 = -1 · 314 · 172 · 232 |
Discriminant |
Eigenvalues |
1 3- -1 2 2 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-720,41989] |
[a1,a2,a3,a4,a6] |
Generators |
[12:181:1] |
Generators of the group modulo torsion |
j |
-107121649/1896129 |
j-invariant |
L |
7.8187308623056 |
L(r)(E,1)/r! |
Ω |
0.75986353858154 |
Real period |
R |
2.5724128311042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26979e1 80937r1 |
Quadratic twists by: -3 -23 |