Atkin-Lehner |
2+ 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410q |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
9856962500 = 22 · 55 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8608,306618] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-170:1] |
Generators of the group modulo torsion |
j |
205619282645167/28737500 |
j-invariant |
L |
3.8725113617175 |
L(r)(E,1)/r! |
Ω |
1.245086983614 |
Real period |
R |
0.31102336009749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999719685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102410j1 |
Quadratic twists by: -7 |