Atkin-Lehner |
5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51205s |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-860602435 = -1 · 5 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11- -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-65,1404] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:24:1] |
Generators of the group modulo torsion |
j |
-262144/7315 |
j-invariant |
L |
3.2046724424088 |
L(r)(E,1)/r! |
Ω |
1.3223779350964 |
Real period |
R |
0.60585411276064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7315a1 |
Quadratic twists by: -7 |