Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73080b |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-35801015040 = -1 · 28 · 39 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-14796] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-378:1] |
Generators of the group modulo torsion |
j |
-20155392/7105 |
j-invariant |
L |
7.0894462789952 |
L(r)(E,1)/r! |
Ω |
0.4200693822641 |
Real period |
R |
1.0548028759526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73080v1 |
Quadratic twists by: -3 |