Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3100b |
Isogeny class |
Conductor |
3100 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
840 |
Modular degree for the optimal curve |
Δ |
-7750000 = -1 · 24 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 6 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-425,-3375] |
[a1,a2,a3,a4,a6] |
j |
-33958656/31 |
j-invariant |
L |
1.5771384056048 |
L(r)(E,1)/r! |
Ω |
0.52571280186828 |
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 |
12400t1 49600e1 27900f1 124b1 |
Quadratic twists by: -4 8 -3 5 |