Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650j |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-2551104592531250000 = -1 · 24 · 59 · 710 · 172 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,238850,62442500] |
[a1,a2,a3,a4,a6] |
j |
341425679/578000 |
j-invariant |
L |
1.4060410695091 |
L(r)(E,1)/r! |
Ω |
0.17575513368368 |
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 |
8330r1 41650d1 |
Quadratic twists by: 5 -7 |