Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bc |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
317712018632400 = 24 · 39 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22638,-991613] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:540:1] |
Generators of the group modulo torsion |
j |
2725888/675 |
j-invariant |
L |
4.7523089185995 |
L(r)(E,1)/r! |
Ω |
0.39626853846767 |
Real period |
R |
2.9981618885114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640bz1 11760be1 35280ce1 |
Quadratic twists by: -4 -3 -7 |