Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120bw |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-2589151981731840 = -1 · 218 · 314 · 5 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 -6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1400,-2447760] |
[a1,a2,a3,a4,a6] |
Generators |
[21970:205578:125] |
Generators of the group modulo torsion |
j |
-74140932601/632117183040 |
j-invariant |
L |
3.5574825832307 |
L(r)(E,1)/r! |
Ω |
0.20754540937587 |
Real period |
R |
4.2851858096659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390l1 |
Quadratic twists by: -4 |