Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20300h |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
8881250000 = 24 · 58 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,1562] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:78:1] |
Generators of the group modulo torsion |
j |
67108864/35525 |
j-invariant |
L |
7.8268279403379 |
L(r)(E,1)/r! |
Ω |
1.1413845507261 |
Real period |
R |
3.4286551081135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200bb1 4060a1 |
Quadratic twists by: -4 5 |