Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240bu |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
17136000000000000 = 216 · 32 · 512 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112225,-12990623] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:1200:1] [-143:336:1] |
Generators of the group modulo torsion |
j |
2385154376795236/261474609375 |
j-invariant |
L |
10.090156198062 |
L(r)(E,1)/r! |
Ω |
0.26269710991609 |
Real period |
R |
1.6004103546597 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240kv4 14280n3 |
Quadratic twists by: -4 8 |