Atkin-Lehner |
3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2325d |
Isogeny class |
Conductor |
2325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-326953125 = -1 · 33 · 58 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 -2 0 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-388,2906] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] |
Generators of the group modulo torsion |
j |
-16539745/837 |
j-invariant |
L |
1.5647095306768 |
L(r)(E,1)/r! |
Ω |
1.6946771393423 |
Real period |
R |
0.3077694455484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37200do1 6975q1 2325h1 113925cy1 |
Quadratic twists by: -4 -3 5 -7 |