Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480h |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-41316069939200 = -1 · 211 · 52 · 76 · 193 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -4 -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3283,317618] |
[a1,a2,a3,a4,a6] |
j |
-16241202/171475 |
j-invariant |
L |
4.3889965535559 |
L(r)(E,1)/r! |
Ω |
0.54862456597117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37240i1 1520e1 |
Quadratic twists by: -4 -7 |