Atkin-Lehner |
7+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74333b |
Isogeny class |
Conductor |
74333 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
143808 |
Modular degree for the optimal curve |
Δ |
-323572515329 = -1 · 78 · 372 · 41 |
Discriminant |
Eigenvalues |
-1 -1 3 7+ -3 2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21659,-1236222] |
[a1,a2,a3,a4,a6] |
Generators |
[1247764:74584126:343] |
Generators of the group modulo torsion |
j |
-194919751537/56129 |
j-invariant |
L |
4.0568232188056 |
L(r)(E,1)/r! |
Ω |
0.19676703980228 |
Real period |
R |
10.308696065433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74333g1 |
Quadratic twists by: -7 |