Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
102608m |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-43017134944256 = -1 · 212 · 113 · 534 |
Discriminant |
Eigenvalues |
2- -3 1 -4 11+ 0 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352,315568] |
[a1,a2,a3,a4,a6] |
Generators |
[33:583:1] |
Generators of the group modulo torsion |
j |
-884736/7890481 |
j-invariant |
L |
2.2392216373874 |
L(r)(E,1)/r! |
Ω |
0.51378315840349 |
Real period |
R |
0.54478761902566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6413c1 102608l1 |
Quadratic twists by: -4 -11 |