Atkin-Lehner |
5+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475k |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
22703515625 = 58 · 7 · 192 · 23 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1938,31867] |
[a1,a2,a3,a4,a6] |
Generators |
[-314:1907:8] [3:160:1] |
Generators of the group modulo torsion |
j |
51520374361/1453025 |
j-invariant |
L |
4.67712325811 |
L(r)(E,1)/r! |
Ω |
1.199335403484 |
Real period |
R |
1.949881261107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15295c1 |
Quadratic twists by: 5 |