Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8880p |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-1094104800000 = -1 · 28 · 33 · 55 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1861,-58439] |
[a1,a2,a3,a4,a6] |
Generators |
[69:370:1] |
Generators of the group modulo torsion |
j |
-2785840267264/4273846875 |
j-invariant |
L |
3.0661289458799 |
L(r)(E,1)/r! |
Ω |
0.34473775408025 |
Real period |
R |
1.4823484951434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2220c1 35520cw1 26640cd1 44400ci1 |
Quadratic twists by: -4 8 -3 5 |