Atkin-Lehner |
2+ 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14630c |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-102410 = -1 · 2 · 5 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11- -7 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-4826809/102410 |
j-invariant |
L |
1.968746868536 |
L(r)(E,1)/r! |
Ω |
1.4498779616034 |
Real period |
R |
0.67893537272571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117040bi1 73150bm1 102410v1 |
Quadratic twists by: -4 5 -7 |