Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400cu |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
32212968480000 = 28 · 32 · 54 · 75 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14833,-644437] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:165:1] |
Generators of the group modulo torsion |
j |
2255900800000/201331053 |
j-invariant |
L |
7.3612101075601 |
L(r)(E,1)/r! |
Ω |
0.43507008057515 |
Real period |
R |
2.8199327076857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200z1 92400s1 |
Quadratic twists by: -4 5 |