Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530bb |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-686279053140848640 = -1 · 212 · 39 · 5 · 116 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,168066,29768176] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:2712:1] [-34:4917:1] |
Generators of the group modulo torsion |
j |
296354077829711/387386634240 |
j-invariant |
L |
9.6195825399761 |
L(r)(E,1)/r! |
Ω |
0.19282271297612 |
Real period |
R |
2.7715679539865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930n1 |
Quadratic twists by: -11 |