Atkin-Lehner |
7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33761b |
Isogeny class |
Conductor |
33761 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-390953156503 = -1 · 77 · 132 · 532 |
Discriminant |
Eigenvalues |
-1 2 0 7- -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,342,-29842] |
[a1,a2,a3,a4,a6] |
Generators |
[6894:199115:8] |
Generators of the group modulo torsion |
j |
37595375/3323047 |
j-invariant |
L |
4.4541870448189 |
L(r)(E,1)/r! |
Ω |
0.45131562197916 |
Real period |
R |
2.4673348472215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4823a1 |
Quadratic twists by: -7 |