Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970k |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-370515756129104880 = -1 · 24 · 39 · 5 · 712 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-602709,-182313307] |
[a1,a2,a3,a4,a6] |
Generators |
[10075586:-319393295:6859] |
Generators of the group modulo torsion |
j |
-10456049121363/160002640 |
j-invariant |
L |
4.3669952460158 |
L(r)(E,1)/r! |
Ω |
0.085594856532986 |
Real period |
R |
12.754841306006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cd1 10710b1 |
Quadratic twists by: -3 -7 |