Atkin-Lehner |
3- 5+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
76995l |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-2235351562875 = -1 · 311 · 53 · 29 · 592 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 -3 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-47343,3965548] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:2389:1] [124:-41:1] |
Generators of the group modulo torsion |
j |
-16097688062119936/3066325875 |
j-invariant |
L |
4.0639491079086 |
L(r)(E,1)/r! |
Ω |
0.79707484303978 |
Real period |
R |
0.63732238311869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25665e1 |
Quadratic twists by: -3 |