Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960h |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
1.1260209560792E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38607867,92333896326] |
[a1,a2,a3,a4,a6] |
Generators |
[4522:101080:1] |
Generators of the group modulo torsion |
j |
6711788809548/11875 |
j-invariant |
L |
8.381030670137 |
L(r)(E,1)/r! |
Ω |
0.19426023305694 |
Real period |
R |
2.6964572369057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129960bm1 6840l1 |
Quadratic twists by: -3 -19 |