Atkin-Lehner |
2+ 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410g |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-13621364271000000 = -1 · 26 · 312 · 56 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47295,-6858675] |
[a1,a2,a3,a4,a6] |
Generators |
[645:-15510:1] [441:7389:1] |
Generators of the group modulo torsion |
j |
-16048965315233521/18684999000000 |
j-invariant |
L |
7.0804083374985 |
L(r)(E,1)/r! |
Ω |
0.15490816157546 |
Real period |
R |
5.7133919444181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470bo1 |
Quadratic twists by: -3 |