Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600n |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-129927200000000 = -1 · 211 · 58 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5208,-568912] |
[a1,a2,a3,a4,a6] |
Generators |
[283:4550:1] |
Generators of the group modulo torsion |
j |
-19531250/162409 |
j-invariant |
L |
7.1298555293856 |
L(r)(E,1)/r! |
Ω |
0.24704807952595 |
Real period |
R |
2.4050161748369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80600bc1 |
Quadratic twists by: 5 |