Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400bh |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
2142720000 = 212 · 33 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -1 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,-837] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
1600000/837 |
j-invariant |
L |
7.9546974899324 |
L(r)(E,1)/r! |
Ω |
1.1839242953306 |
Real period |
R |
1.1198206848429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400s1 74400bq1 |
Quadratic twists by: -4 5 |