Atkin-Lehner |
5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
56525m |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-63767265625 = -1 · 57 · 7 · 17 · 193 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ -1 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7088,229417] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-271:1] |
Generators of the group modulo torsion |
j |
-2520453225529/4081105 |
j-invariant |
L |
1.7885814239826 |
L(r)(E,1)/r! |
Ω |
1.1041607548221 |
Real period |
R |
0.26997600004764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11305c1 |
Quadratic twists by: 5 |