Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976dl |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-978526871039770624 = -1 · 223 · 11 · 139 |
Discriminant |
Eigenvalues |
2- -2 3 -1 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70529,-48159617] |
[a1,a2,a3,a4,a6] |
Generators |
[306313:8414848:343] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
5.2326476141298 |
L(r)(E,1)/r! |
Ω |
0.12054514932669 |
Real period |
R |
5.4260247551484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998074637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976l1 29744q1 9152s1 |
Quadratic twists by: -4 8 13 |