Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5635l |
Isogeny class |
Conductor |
5635 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3780 |
Modular degree for the optimal curve |
Δ |
-8456021875 = -1 · 55 · 76 · 23 |
Discriminant |
Eigenvalues |
2 0 5- 7- 2 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,343,3687] |
[a1,a2,a3,a4,a6] |
j |
37933056/71875 |
j-invariant |
L |
4.5012303111834 |
L(r)(E,1)/r! |
Ω |
0.90024606223667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160cn1 50715v1 28175g1 115a1 |
Quadratic twists by: -4 -3 5 -7 |