Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5635d |
Isogeny class |
Conductor |
5635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-13341911314375 = -1 · 54 · 79 · 232 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 0 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1836,173261] |
[a1,a2,a3,a4,a6] |
Generators |
[54:3419:8] |
Generators of the group modulo torsion |
j |
16974593/330625 |
j-invariant |
L |
2.8615927843598 |
L(r)(E,1)/r! |
Ω |
0.52837860560523 |
Real period |
R |
2.7078999357686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160bu1 50715bo1 28175e1 5635i1 |
Quadratic twists by: -4 -3 5 -7 |