Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ex |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1069565167534080 = 221 · 3 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33185,1703103] |
[a1,a2,a3,a4,a6] |
Generators |
[498:10437:1] |
Generators of the group modulo torsion |
j |
15417797707369/4080067320 |
j-invariant |
L |
10.192696062489 |
L(r)(E,1)/r! |
Ω |
0.45895697783553 |
Real period |
R |
3.7013985012941 |
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 |
114240ha2 3570c2 |
Quadratic twists by: -4 8 |