Atkin-Lehner |
2- 3+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94350be |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-12831600000000 = -1 · 210 · 3 · 58 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3088,183281] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:513:1] [-35:517:1] |
Generators of the group modulo torsion |
j |
-208422380089/821222400 |
j-invariant |
L |
12.513474930586 |
L(r)(E,1)/r! |
Ω |
0.61966224892841 |
Real period |
R |
1.0097012486921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870k1 |
Quadratic twists by: 5 |