Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cg |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5971875000 = -1 · 23 · 3 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1638,-26469] |
[a1,a2,a3,a4,a6] |
Generators |
[51:135:1] |
Generators of the group modulo torsion |
j |
-1244290945/15288 |
j-invariant |
L |
6.4797091863844 |
L(r)(E,1)/r! |
Ω |
0.37494883372034 |
Real period |
R |
2.8802637425179 |
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 |
109200gz1 40950cs1 13650w1 95550kn1 |
Quadratic twists by: -4 -3 5 -7 |