Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fa |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
117456998400 = 212 · 34 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1225,-1225] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:120:1] |
Generators of the group modulo torsion |
j |
49673699776/28676025 |
j-invariant |
L |
8.0114214186505 |
L(r)(E,1)/r! |
Ω |
0.88071959444435 |
Real period |
R |
1.1370562005937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014818 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240bz2 57120bm1 |
Quadratic twists by: -4 8 |