Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200fu |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-31893750000 = -1 · 24 · 36 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1125,16875] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:153:1] |
Generators of the group modulo torsion |
j |
-34560/7 |
j-invariant |
L |
5.8370132788574 |
L(r)(E,1)/r! |
Ω |
1.121194046223 |
Real period |
R |
2.6030343714903 |
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 |
6300y1 100800pz1 2800bd1 25200ee1 |
Quadratic twists by: -4 8 -3 5 |