Atkin-Lehner |
3- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42273b |
Isogeny class |
Conductor |
42273 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25856 |
Modular degree for the optimal curve |
Δ |
13672483209 = 37 · 7 · 114 · 61 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-603,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:48:1] |
Generators of the group modulo torsion |
j |
33293019313/18755121 |
j-invariant |
L |
4.7794166849905 |
L(r)(E,1)/r! |
Ω |
1.0831234800713 |
Real period |
R |
2.2063120100953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14091b1 |
Quadratic twists by: -3 |