Atkin-Lehner |
2- 7+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
70448k |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-287237106871042048 = -1 · 218 · 7 · 174 · 374 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,136472,17026356] |
[a1,a2,a3,a4,a6] |
Generators |
[14:4352:1] |
Generators of the group modulo torsion |
j |
68626405236548375/70126246794688 |
j-invariant |
L |
2.5482428974627 |
L(r)(E,1)/r! |
Ω |
0.20340094960393 |
Real period |
R |
1.5660220015038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8806d1 |
Quadratic twists by: -4 |