Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
1110g |
Isogeny class |
Conductor |
1110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-1094104800 = -1 · 25 · 33 · 52 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 -7 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,126,-1484] |
[a1,a2,a3,a4,a6] |
Generators |
[8:3:1] |
Generators of the group modulo torsion |
j |
223759095911/1094104800 |
j-invariant |
L |
2.1006207223131 |
L(r)(E,1)/r! |
Ω |
0.78039476481345 |
Real period |
R |
1.3458705882113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8880o1 35520m1 3330ba1 5550v1 |
Quadratic twists by: -4 8 -3 5 |