Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65712bf |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-1613323173888 = -1 · 217 · 35 · 373 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -3 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1344,63540] |
[a1,a2,a3,a4,a6] |
Generators |
[12:222:1] [-22:288:1] |
Generators of the group modulo torsion |
j |
-1295029/7776 |
j-invariant |
L |
9.8379277228751 |
L(r)(E,1)/r! |
Ω |
0.72841507518414 |
Real period |
R |
0.33764841153209 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8214i1 65712be1 |
Quadratic twists by: -4 37 |