Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240by |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-602121934848000 = -1 · 214 · 3 · 53 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4305,1187025] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1120:1] |
Generators of the group modulo torsion |
j |
-538671647824/36750606375 |
j-invariant |
L |
6.9533200798598 |
L(r)(E,1)/r! |
Ω |
0.42528644135335 |
Real period |
R |
2.7249556160445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240la1 14280bv1 |
Quadratic twists by: -4 8 |