Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1410i |
Isogeny class |
Conductor |
1410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-3185805171505680 = -1 · 24 · 325 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 2 5 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46796,4729853] |
[a1,a2,a3,a4,a6] |
j |
-11333146141863707329/3185805171505680 |
j-invariant |
L |
1.7019478076357 |
L(r)(E,1)/r! |
Ω |
0.42548695190891 |
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 |
11280x1 45120bl1 4230p1 7050l1 |
Quadratic twists by: -4 8 -3 5 |