Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805u |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1034898270875 = -1 · 53 · 73 · 176 |
Discriminant |
Eigenvalues |
-2 3 5+ 7- -1 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2023,60184] |
[a1,a2,a3,a4,a6] |
j |
-110592/125 |
j-invariant |
L |
1.5883329327376 |
L(r)(E,1)/r! |
Ω |
0.79416647407691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805bm1 245a1 |
Quadratic twists by: -7 17 |