Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518bw |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-409672453872172392 = -1 · 23 · 36 · 119 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,181840,7540283] |
[a1,a2,a3,a4,a6] |
Generators |
[399:11779:1] |
Generators of the group modulo torsion |
j |
514885403375/317214568 |
j-invariant |
L |
10.668691223951 |
L(r)(E,1)/r! |
Ω |
0.18467726319345 |
Real period |
R |
0.80235251725617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7502c2 6138i2 |
Quadratic twists by: -3 -11 |