Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240i |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-98703360000 = -1 · 214 · 34 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1041,20241] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:180:1] [11:100:1] |
Generators of the group modulo torsion |
j |
-7622072656/6024375 |
j-invariant |
L |
9.5318516852432 |
L(r)(E,1)/r! |
Ω |
0.9775042417275 |
Real period |
R |
2.4378031513796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240je1 14280bw1 |
Quadratic twists by: -4 8 |