Atkin-Lehner |
2+ 5+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23870c |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-18379900 = -1 · 22 · 52 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55,121] |
[a1,a2,a3,a4,a6] |
Generators |
[0:11:1] [3:16:1] |
Generators of the group modulo torsion |
j |
18212205591/18379900 |
j-invariant |
L |
5.5592218524085 |
L(r)(E,1)/r! |
Ω |
1.4367248965363 |
Real period |
R |
0.96734278528405 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119350bc1 |
Quadratic twists by: 5 |