Atkin-Lehner |
5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5635b |
Isogeny class |
Conductor |
5635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
23203324025 = 52 · 79 · 23 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- -6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-736,2008] |
[a1,a2,a3,a4,a6] |
j |
1092727/575 |
j-invariant |
L |
1.0548414056185 |
L(r)(E,1)/r! |
Ω |
1.0548414056185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160cf1 50715br1 28175k1 5635e1 |
Quadratic twists by: -4 -3 5 -7 |