Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240bh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3771674726400000000 = 218 · 32 · 58 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-391361,-12101439] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:8959:1] |
Generators of the group modulo torsion |
j |
25288177725059761/14387797265625 |
j-invariant |
L |
6.2298246957183 |
L(r)(E,1)/r! |
Ω |
0.20630164594467 |
Real period |
R |
3.7747060982056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076376 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240iq4 1785o3 |
Quadratic twists by: -4 8 |