Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ex |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-22011287961600 = -1 · 224 · 32 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5215,174783] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:315:1] |
Generators of the group modulo torsion |
j |
59822347031/83966400 |
j-invariant |
L |
10.192696062489 |
L(r)(E,1)/r! |
Ω |
0.45895697783553 |
Real period |
R |
1.850699250647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ha1 3570c1 |
Quadratic twists by: -4 8 |