Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370c |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6967296 |
Modular degree for the optimal curve |
Δ |
1.8517648067368E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3072424,-101504778] |
[a1,a2,a3,a4,a6] |
Generators |
[-23452987545:-129738082971:13651919] |
Generators of the group modulo torsion |
j |
664518141560070721/383641616384000 |
j-invariant |
L |
3.3574114016164 |
L(r)(E,1)/r! |
Ω |
0.12447003057459 |
Real period |
R |
13.486826510238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999566606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490m1 |
Quadratic twists by: 13 |