Atkin-Lehner |
3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341t |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-11470851 = -1 · 32 · 72 · 19 · 372 |
Discriminant |
Eigenvalues |
0 3- 1 7- 0 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-275,-1858] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1831:1] |
Generators of the group modulo torsion |
j |
-47109013504/234099 |
j-invariant |
L |
7.6608993843656 |
L(r)(E,1)/r! |
Ω |
0.58583562492668 |
Real period |
R |
3.269218801207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103341a1 |
Quadratic twists by: -7 |