Atkin-Lehner |
2+ 7+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
62216b |
Isogeny class |
Conductor |
62216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
242560 |
Modular degree for the optimal curve |
Δ |
-210327907328 = -1 · 210 · 75 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 3 -4 7+ 11- -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3547,-84250] |
[a1,a2,a3,a4,a6] |
Generators |
[3549:35416:27] |
Generators of the group modulo torsion |
j |
-4819559218884/205398347 |
j-invariant |
L |
7.7383349256441 |
L(r)(E,1)/r! |
Ω |
0.3085478638215 |
Real period |
R |
6.2699631340952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124432c1 |
Quadratic twists by: -4 |