Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440k |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-11892902112000 = -1 · 28 · 35 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5161,-217139] |
[a1,a2,a3,a4,a6] |
Generators |
[93:314:1] |
Generators of the group modulo torsion |
j |
-504871936/394875 |
j-invariant |
L |
4.4303616772429 |
L(r)(E,1)/r! |
Ω |
0.27245926683208 |
Real period |
R |
4.0651596551425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1560f1 |
Quadratic twists by: -7 |