Atkin-Lehner |
2- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600bd |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-3516386508800 = -1 · 219 · 52 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11008,-457292] |
[a1,a2,a3,a4,a6] |
Generators |
[132:638:1] [234:3136:1] |
Generators of the group modulo torsion |
j |
-1440749475625/34339712 |
j-invariant |
L |
12.50400752505 |
L(r)(E,1)/r! |
Ω |
0.23271654198095 |
Real period |
R |
4.4775528967804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15950l1 127600bu1 |
Quadratic twists by: -4 5 |