Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600m |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-70200000000 = -1 · 29 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,33750] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-50:1] |
Generators of the group modulo torsion |
j |
-135000/13 |
j-invariant |
L |
6.9963710779607 |
L(r)(E,1)/r! |
Ω |
1.0698324608694 |
Real period |
R |
0.54497404424959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600n1 93600dc1 93600ct1 |
Quadratic twists by: -4 -3 5 |