Atkin-Lehner |
2+ 3+ 37+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
17538d |
Isogeny class |
Conductor |
17538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
546720 |
Modular degree for the optimal curve |
Δ |
-2965249320988704768 = -1 · 234 · 310 · 37 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 1 4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1731896,880447296] |
[a1,a2,a3,a4,a6] |
j |
-574499336502915528012937/2965249320988704768 |
j-invariant |
L |
1.0199888106872 |
L(r)(E,1)/r! |
Ω |
0.25499720267181 |
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 |
52614n1 |
Quadratic twists by: -3 |