Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200x |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-283435200000000 = -1 · 212 · 311 · 58 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165000,25810000] |
[a1,a2,a3,a4,a6] |
Generators |
[200:900:1] |
Generators of the group modulo torsion |
j |
-425920000/243 |
j-invariant |
L |
3.843309254993 |
L(r)(E,1)/r! |
Ω |
0.54200823709458 |
Real period |
R |
0.5909057267584 |
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 |
7200bw1 14400cl1 2400bg1 7200bm1 |
Quadratic twists by: -4 8 -3 5 |