Atkin-Lehner |
2- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
74176m |
Isogeny class |
Conductor |
74176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2924544 |
Modular degree for the optimal curve |
Δ |
-9039050010653622272 = -1 · 235 · 19 · 614 |
Discriminant |
Eigenvalues |
2- 3 0 1 -2 -3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3618220,2652998864] |
[a1,a2,a3,a4,a6] |
Generators |
[244518:601399:216] |
Generators of the group modulo torsion |
j |
-19983368632718354625/34481239359488 |
j-invariant |
L |
12.445494454714 |
L(r)(E,1)/r! |
Ω |
0.2311871938169 |
Real period |
R |
6.7291218895397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176i1 18544i1 |
Quadratic twists by: -4 8 |