Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160h |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-110121705169920 = -1 · 210 · 39 · 5 · 1033 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 2 -2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42147,3368466] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-206:1] |
Generators of the group modulo torsion |
j |
-410801919948/5463635 |
j-invariant |
L |
4.8287583774499 |
L(r)(E,1)/r! |
Ω |
0.59546540338133 |
Real period |
R |
0.67576811185441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37080b1 74160d1 |
Quadratic twists by: -4 -3 |