Atkin-Lehner |
3+ 5- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
76995d |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14464 |
Modular degree for the optimal curve |
Δ |
-6698565 = -1 · 33 · 5 · 292 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5- -1 -4 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-219,1310] |
[a1,a2,a3,a4,a6] |
Generators |
[14:22:1] |
Generators of the group modulo torsion |
j |
-43132764843/248095 |
j-invariant |
L |
7.1483681289931 |
L(r)(E,1)/r! |
Ω |
2.3827721084434 |
Real period |
R |
0.75000543530284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76995a1 |
Quadratic twists by: -3 |