Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970ck |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-3935090287918440 = -1 · 23 · 310 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7267,3006861] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:216:1] |
Generators of the group modulo torsion |
j |
10100279/936360 |
j-invariant |
L |
10.084840016656 |
L(r)(E,1)/r! |
Ω |
0.33745219119917 |
Real period |
R |
2.4904367391218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990j1 74970ec1 |
Quadratic twists by: -3 -7 |