Atkin-Lehner |
2- 3+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
123114n |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-261298262709526314 = -1 · 2 · 3 · 176 · 715 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 3 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-66476,-25490953] |
[a1,a2,a3,a4,a6] |
Generators |
[3238:28433:8] [10990:392743:8] |
Generators of the group modulo torsion |
j |
-1345938541921/10825376106 |
j-invariant |
L |
13.68636827811 |
L(r)(E,1)/r! |
Ω |
0.13094196310667 |
Real period |
R |
26.130600061087 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
426a2 |
Quadratic twists by: 17 |