Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200fv |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-187280916480000 = -1 · 223 · 36 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25875,1732050] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1792:1] |
Generators of the group modulo torsion |
j |
-1026590625/100352 |
j-invariant |
L |
4.8539803846053 |
L(r)(E,1)/r! |
Ω |
0.55418769759587 |
Real period |
R |
1.0948412436938 |
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 |
3150r1 100800py1 2800bg1 25200ed1 |
Quadratic twists by: -4 8 -3 5 |