Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976do |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-869906825216 = -1 · 214 · 11 · 136 |
Discriminant |
Eigenvalues |
2- -3 -3 -2 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2704,-70304] |
[a1,a2,a3,a4,a6] |
Generators |
[65:169:1] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
1.3042961109859 |
L(r)(E,1)/r! |
Ω |
0.32465528887447 |
Real period |
R |
2.0087399397684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000154471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976r1 29744d1 704i1 |
Quadratic twists by: -4 8 13 |