Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600m |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-18062500000000000 = -1 · 211 · 515 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 5 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65592,-48812] |
[a1,a2,a3,a4,a6] |
Generators |
[9788:968750:1] |
Generators of the group modulo torsion |
j |
3374596798/1953125 |
j-invariant |
L |
6.0660457441779 |
L(r)(E,1)/r! |
Ω |
0.23137414289216 |
Real period |
R |
3.2771843164256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57800g1 23120f1 115600r1 |
Quadratic twists by: -4 5 17 |