Atkin-Lehner |
5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525r |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
230233390625 = 56 · 74 · 17 · 192 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21101,-1181277] |
[a1,a2,a3,a4,a6] |
Generators |
[317:4741:1] |
Generators of the group modulo torsion |
j |
66494115285697/14734937 |
j-invariant |
L |
3.8637679726008 |
L(r)(E,1)/r! |
Ω |
0.39612480278305 |
Real period |
R |
2.4384789499887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2261a1 |
Quadratic twists by: 5 |