Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810dl |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-38814720 = -1 · 210 · 3 · 5 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55,-343] |
[a1,a2,a3,a4,a6] |
Generators |
[22:85:1] |
Generators of the group modulo torsion |
j |
-51026761/107520 |
j-invariant |
L |
12.902260801032 |
L(r)(E,1)/r! |
Ω |
0.82192184369365 |
Real period |
R |
1.5697673567279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810p1 |
Quadratic twists by: -19 |