Atkin-Lehner |
2+ 3+ 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214b |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-40251892464 = -1 · 24 · 39 · 7 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1041,16397] |
[a1,a2,a3,a4,a6] |
Generators |
[26:67:1] |
Generators of the group modulo torsion |
j |
-6341898051/2045008 |
j-invariant |
L |
6.0806611774564 |
L(r)(E,1)/r! |
Ω |
1.0845784541131 |
Real period |
R |
2.8032371255767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74214o1 |
Quadratic twists by: -3 |