Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370o |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-12028433760000 = -1 · 28 · 32 · 54 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19527,1055349] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-159:1] |
Generators of the group modulo torsion |
j |
-6999657683689/102240000 |
j-invariant |
L |
5.457484970068 |
L(r)(E,1)/r! |
Ω |
0.71573735794478 |
Real period |
R |
0.95312283218673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130e1 |
Quadratic twists by: -7 |