Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760l |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-10387134660188160 = -1 · 211 · 33 · 5 · 711 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29427,-5274414] |
[a1,a2,a3,a4,a6] |
Generators |
[1485:56796:1] |
Generators of the group modulo torsion |
j |
-50964522954966/187846040585 |
j-invariant |
L |
7.506327897997 |
L(r)(E,1)/r! |
Ω |
0.16694061049792 |
Real period |
R |
5.6205077004198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47880h1 95760c1 |
Quadratic twists by: -4 -3 |