Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970c |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-84673397088000 = -1 · 28 · 33 · 53 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1020,-442800] |
[a1,a2,a3,a4,a6] |
Generators |
[88:524:1] [121:1140:1] |
Generators of the group modulo torsion |
j |
36926037/26656000 |
j-invariant |
L |
7.2090070779352 |
L(r)(E,1)/r! |
Ω |
0.28320013151512 |
Real period |
R |
6.3638804114674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cj1 10710d1 |
Quadratic twists by: -3 -7 |