Atkin-Lehner |
3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105225o |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4313088 |
Modular degree for the optimal curve |
Δ |
-9709023610546875 = -1 · 32 · 58 · 233 · 613 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 -1 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-19408508,-32917111606] |
[a1,a2,a3,a4,a6] |
Generators |
[50088:11165062:1] |
Generators of the group modulo torsion |
j |
-51746402382906475565056/621377511075 |
j-invariant |
L |
3.0949328074552 |
L(r)(E,1)/r! |
Ω |
0.035964292330199 |
Real period |
R |
7.1713094353055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999366561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21045b1 |
Quadratic twists by: 5 |