Atkin-Lehner |
2+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74176i |
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 |
[140996:529175:64] |
Generators of the group modulo torsion |
j |
-19983368632718354625/34481239359488 |
j-invariant |
L |
3.4112847419901 |
L(r)(E,1)/r! |
Ω |
0.054726906914811 |
Real period |
R |
7.7916077635293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176m1 2318c1 |
Quadratic twists by: -4 8 |