Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3325g |
Isogeny class |
Conductor |
3325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
10390625 = 57 · 7 · 19 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-355,-2478] |
[a1,a2,a3,a4,a6] |
Generators |
[214:3005:1] |
Generators of the group modulo torsion |
j |
315821241/665 |
j-invariant |
L |
2.0932179216494 |
L(r)(E,1)/r! |
Ω |
1.1002541738334 |
Real period |
R |
3.8049715628099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53200bm1 29925be1 665b1 23275m1 |
Quadratic twists by: -4 -3 5 -7 |