Atkin-Lehner |
3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2325l |
Isogeny class |
Conductor |
2325 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
1560 |
Modular degree for the optimal curve |
Δ |
-30890008125 = -1 · 313 · 54 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 2 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,337,8142] |
[a1,a2,a3,a4,a6] |
Generators |
[13:115:1] |
Generators of the group modulo torsion |
j |
6771000575/49424013 |
j-invariant |
L |
2.5252436703743 |
L(r)(E,1)/r! |
Ω |
0.8543658820267 |
Real period |
R |
0.22736103722321 |
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 |
37200ck1 6975o1 2325a1 113925bm1 |
Quadratic twists by: -4 -3 5 -7 |