Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870b |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
1857600 = 26 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75,261] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:21:1] |
Generators of the group modulo torsion |
j |
1740992427/68800 |
j-invariant |
L |
2.3827107575093 |
L(r)(E,1)/r! |
Ω |
2.6147517292796 |
Real period |
R |
0.45562848870659 |
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 |
30960u1 123840y1 3870o1 19350bs1 |
Quadratic twists by: -4 8 -3 5 |