Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976di |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-1275561364160512 = -1 · 225 · 113 · 134 |
Discriminant |
Eigenvalues |
2- -2 0 -2 11- 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21407,1231647] |
[a1,a2,a3,a4,a6] |
Generators |
[151:2816:1] |
Generators of the group modulo torsion |
j |
144896375/170368 |
j-invariant |
L |
2.7661255281624 |
L(r)(E,1)/r! |
Ω |
0.32310842055051 |
Real period |
R |
0.7134152072349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976j1 29744p1 118976ci1 |
Quadratic twists by: -4 8 13 |