Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610g |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1041465600 = 28 · 34 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3364,74786] |
[a1,a2,a3,a4,a6] |
Generators |
[28:38:1] |
Generators of the group modulo torsion |
j |
4208294050801849/1041465600 |
j-invariant |
L |
3.5155424926612 |
L(r)(E,1)/r! |
Ω |
1.5177733468417 |
Real period |
R |
0.28953124819136 |
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 |
68880bg1 25830bk1 43050bg1 60270h1 |
Quadratic twists by: -4 -3 5 -7 |