Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65712bf |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20885085930651648 = -1 · 237 · 3 · 373 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -3 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63504,-9310188] |
[a1,a2,a3,a4,a6] |
Generators |
[308:666:1] [9218:884736:1] |
Generators of the group modulo torsion |
j |
-136511322949/100663296 |
j-invariant |
L |
9.8379277228751 |
L(r)(E,1)/r! |
Ω |
0.14568301503683 |
Real period |
R |
8.4412102883023 |
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 |
8214i2 65712be2 |
Quadratic twists by: -4 37 |