Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5635d |
Isogeny class |
Conductor |
5635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
362551937890625 = 58 · 79 · 23 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 0 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37609,2650407] |
[a1,a2,a3,a4,a6] |
Generators |
[-6604:152475:64] |
Generators of the group modulo torsion |
j |
145780726447/8984375 |
j-invariant |
L |
2.8615927843598 |
L(r)(E,1)/r! |
Ω |
0.52837860560523 |
Real period |
R |
5.4157998715372 |
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 |
90160bu2 50715bo2 28175e2 5635i2 |
Quadratic twists by: -4 -3 5 -7 |