Atkin-Lehner |
2- 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954bw |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-8709599706024 = -1 · 23 · 3 · 79 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2941,153467] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-350:1] |
Generators of the group modulo torsion |
j |
-23912763841/74030376 |
j-invariant |
L |
8.0436406523627 |
L(r)(E,1)/r! |
Ω |
0.64437876729166 |
Real period |
R |
0.52011597918504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422t1 |
Quadratic twists by: -7 |