Atkin-Lehner |
5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76705k |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5652480 |
Modular degree for the optimal curve |
Δ |
1.7308709993916E+20 |
Discriminant |
Eigenvalues |
-2 2 5- -2 -3 6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1553320,-392640694] |
[a1,a2,a3,a4,a6] |
Generators |
[-513:16399:1] |
Generators of the group modulo torsion |
j |
5292783210496/2210253125 |
j-invariant |
L |
5.2718771662845 |
L(r)(E,1)/r! |
Ω |
0.14034018036824 |
Real period |
R |
3.7564987811494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76705d1 |
Quadratic twists by: -23 |