Atkin-Lehner |
2- 3- 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74214v |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-158910367197560832 = -1 · 220 · 37 · 76 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1053365,416822861] |
[a1,a2,a3,a4,a6] |
Generators |
[579:-1172:1] |
Generators of the group modulo torsion |
j |
-177309681365523183625/217984042795008 |
j-invariant |
L |
11.025258268642 |
L(r)(E,1)/r! |
Ω |
0.32277354816632 |
Real period |
R |
0.56929790412667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24738g1 |
Quadratic twists by: -3 |