Atkin-Lehner |
2- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62678g |
Isogeny class |
Conductor |
62678 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-945936376 = -1 · 23 · 74 · 113 · 37 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 11+ -4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,245,-87] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-53:1] |
Generators of the group modulo torsion |
j |
1221611509/710696 |
j-invariant |
L |
6.705579913629 |
L(r)(E,1)/r! |
Ω |
0.92796651642866 |
Real period |
R |
0.60217509606579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62678e1 |
Quadratic twists by: -11 |