Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850r |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-3494175300 = -1 · 22 · 33 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-2855] |
[a1,a2,a3,a4,a6] |
Generators |
[36:193:1] |
Generators of the group modulo torsion |
j |
-625/1188 |
j-invariant |
L |
4.4357352140898 |
L(r)(E,1)/r! |
Ω |
0.6368129039834 |
Real period |
R |
3.4827617256884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850hg1 1650i1 |
Quadratic twists by: 5 -7 |