Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970bu |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-25702956047462400 = -1 · 212 · 316 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-326034,-71986860] |
[a1,a2,a3,a4,a6] |
j |
-15328211694275143/102792499200 |
j-invariant |
L |
3.1954331614609 |
L(r)(E,1)/r! |
Ω |
0.09985728761603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990cb1 74970bh1 |
Quadratic twists by: -3 -7 |