Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488t |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
392207567472439488 = 26 · 35 · 76 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255012,39441942] |
[a1,a2,a3,a4,a6] |
j |
243578556889408/52089208083 |
j-invariant |
L |
1.1345905811705 |
L(r)(E,1)/r! |
Ω |
0.28364763501464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488dx1 51744cq3 2112n1 |
Quadratic twists by: -4 8 -7 |