Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805h |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-7.477263379882E+22 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6015770,-11868762249] |
[a1,a2,a3,a4,a6] |
j |
24718462497/76765625 |
j-invariant |
L |
2.7883313143536 |
L(r)(E,1)/r! |
Ω |
0.055766626321453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70805bg1 4165m1 |
Quadratic twists by: -7 17 |