Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80275x |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-8848521342578125 = -1 · 58 · 137 · 192 |
Discriminant |
Eigenvalues |
-1 0 5- 1 -5 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40930,-5525178] |
[a1,a2,a3,a4,a6] |
Generators |
[1869:79340:1] |
Generators of the group modulo torsion |
j |
-4021785/4693 |
j-invariant |
L |
2.99159472368 |
L(r)(E,1)/r! |
Ω |
0.1605976891603 |
Real period |
R |
0.77616172951258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80275h1 6175h1 |
Quadratic twists by: 5 13 |