Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230bc |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
317130000 = 24 · 3 · 54 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-471,3801] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:77:1] |
Generators of the group modulo torsion |
j |
11556972012529/317130000 |
j-invariant |
L |
7.0380777121895 |
L(r)(E,1)/r! |
Ω |
1.7126193167532 |
Real period |
R |
1.027385018279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840bl1 30690n1 51150i1 112530y1 |
Quadratic twists by: -4 -3 5 -11 |