Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ke |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4569600000000 = 215 · 3 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16065,-782337] |
[a1,a2,a3,a4,a6] |
Generators |
[146:75:1] |
Generators of the group modulo torsion |
j |
13994036429192/139453125 |
j-invariant |
L |
10.104157046171 |
L(r)(E,1)/r! |
Ω |
0.42431505639694 |
Real period |
R |
2.9766080810291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ht3 57120bj3 |
Quadratic twists by: -4 8 |