Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bg |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
3615156119680000 = 210 · 54 · 77 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -5 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53208,3752512] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:490:1] [-188:2660:1] |
Generators of the group modulo torsion |
j |
26030511662500/5648681437 |
j-invariant |
L |
7.9307142607097 |
L(r)(E,1)/r! |
Ω |
0.41888674096927 |
Real period |
R |
0.075130304347485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600bf1 53200f1 |
Quadratic twists by: -4 5 |