Atkin-Lehner |
2+ 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25530c |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-465284250 = -1 · 2 · 37 · 53 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -5 -4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,182,-362] |
[a1,a2,a3,a4,a6] |
j |
661003929431/465284250 |
j-invariant |
L |
0.93884050455019 |
L(r)(E,1)/r! |
Ω |
0.93884050455004 |
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 |
76590cf1 127650db1 |
Quadratic twists by: -3 5 |