Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
7950be |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
9779990625000000 = 26 · 310 · 511 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70063,-5350219] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:1242:1] |
Generators of the group modulo torsion |
j |
2434278488702761/625919400000 |
j-invariant |
L |
5.342381089358 |
L(r)(E,1)/r! |
Ω |
0.29901984124852 |
Real period |
R |
2.9777182828691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600cx1 23850o1 1590i1 |
Quadratic twists by: -4 -3 5 |