Atkin-Lehner |
2+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
74200c |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-22093346800 = -1 · 24 · 52 · 7 · 534 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -3 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,-7145] |
[a1,a2,a3,a4,a6] |
Generators |
[31:159:1] [591:14369:1] |
Generators of the group modulo torsion |
j |
169793280/55233367 |
j-invariant |
L |
9.4342540493969 |
L(r)(E,1)/r! |
Ω |
0.56630887527788 |
Real period |
R |
2.0824002724662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74200w1 |
Quadratic twists by: 5 |