Atkin-Lehner |
2- 3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410bq |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-991877476515840000 = -1 · 220 · 310 · 54 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-516992,151017891] |
[a1,a2,a3,a4,a6] |
Generators |
[-781:9219:1] [381:-3231:1] |
Generators of the group modulo torsion |
j |
-20962682893309328569/1360600104960000 |
j-invariant |
L |
16.95663054004 |
L(r)(E,1)/r! |
Ω |
0.27352761620158 |
Real period |
R |
0.38745243488685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470g1 |
Quadratic twists by: -3 |