Atkin-Lehner |
2- 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320bf |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16920576 |
Modular degree for the optimal curve |
Δ |
4.1561230314355E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26018576,-40579151424] |
[a1,a2,a3,a4,a6] |
Generators |
[-100644366:2896501038:50653] |
Generators of the group modulo torsion |
j |
475569892619895944185489/101467847447156250000 |
j-invariant |
L |
3.647185152028 |
L(r)(E,1)/r! |
Ω |
0.067856582324178 |
Real period |
R |
13.437109252224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997569025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790w1 |
Quadratic twists by: -4 |