Atkin-Lehner |
2+ 3- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67938j |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2620800 |
Modular degree for the optimal curve |
Δ |
-4.0779677376309E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 5 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-142302,-307947404] |
[a1,a2,a3,a4,a6] |
Generators |
[2042:87957:1] |
Generators of the group modulo torsion |
j |
-30051224029/3845507076 |
j-invariant |
L |
4.0962083918075 |
L(r)(E,1)/r! |
Ω |
0.090496535699332 |
Real period |
R |
0.75439506413211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67938v1 |
Quadratic twists by: 13 |