Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80724c |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-143536313088 = -1 · 28 · 35 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-413,-18375] |
[a1,a2,a3,a4,a6] |
Generators |
[25200:62965:729] |
Generators of the group modulo torsion |
j |
-31744000/583443 |
j-invariant |
L |
5.7115431579683 |
L(r)(E,1)/r! |
Ω |
0.44441915572903 |
Real period |
R |
6.4258516816448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80724l1 |
Quadratic twists by: -31 |