Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935cg |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
6499651923075465 = 34 · 5 · 77 · 117 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65343,-5132459] |
[a1,a2,a3,a4,a6] |
Generators |
[25358:1410277:8] |
Generators of the group modulo torsion |
j |
148035889/31185 |
j-invariant |
L |
11.027017211878 |
L(r)(E,1)/r! |
Ω |
0.30305128743395 |
Real period |
R |
4.5483296323671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705c1 8085w1 |
Quadratic twists by: -7 -11 |