Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608eu |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
6961860093888 = 26 · 316 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13935,620296] |
[a1,a2,a3,a4,a6] |
Generators |
[60:14:1] [92:342:1] |
Generators of the group modulo torsion |
j |
6414120712000/149216823 |
j-invariant |
L |
10.671495590304 |
L(r)(E,1)/r! |
Ω |
0.74593391575853 |
Real period |
R |
7.1531105938892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608eb1 38304u2 25536db1 |
Quadratic twists by: -4 8 -3 |