Atkin-Lehner |
2- 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850bw |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-2188620983404800 = -1 · 28 · 39 · 52 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-203193,35241351] |
[a1,a2,a3,a4,a6] |
j |
-37111632961355475385/87544839336192 |
j-invariant |
L |
3.7097445768588 |
L(r)(E,1)/r! |
Ω |
0.46371807211763 |
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 |
116550bg1 38850br1 |
Quadratic twists by: -3 5 |