Atkin-Lehner |
2+ 3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646d |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-2135195113544064 = -1 · 27 · 314 · 11 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 11+ 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101385,-12597363] |
[a1,a2,a3,a4,a6] |
Generators |
[369:180:1] [5382:116865:8] |
Generators of the group modulo torsion |
j |
-158095573317225361/2928937055616 |
j-invariant |
L |
7.4394545566961 |
L(r)(E,1)/r! |
Ω |
0.13362839169545 |
Real period |
R |
13.91817723456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24882bi1 |
Quadratic twists by: -3 |