Atkin-Lehner |
2+ 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35464a |
Isogeny class |
Conductor |
35464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-113421248512 = -1 · 211 · 11 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ -2 2 1 11- 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1112,-21968] |
[a1,a2,a3,a4,a6] |
Generators |
[379:7358:1] |
Generators of the group modulo torsion |
j |
-74318787506/55381469 |
j-invariant |
L |
4.7977563852662 |
L(r)(E,1)/r! |
Ω |
0.40035226662789 |
Real period |
R |
5.9919185991843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70928b1 |
Quadratic twists by: -4 |