Atkin-Lehner |
3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99705h |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1671168 |
Modular degree for the optimal curve |
Δ |
-3452018967404859375 = -1 · 34 · 56 · 179 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14022,89387631] |
[a1,a2,a3,a4,a6] |
j |
-2571353/29109375 |
j-invariant |
L |
1.2021876157148 |
L(r)(E,1)/r! |
Ω |
0.20036453104605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99705p1 |
Quadratic twists by: 17 |