Atkin-Lehner |
2- 3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25296l |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-699383808 = -1 · 214 · 34 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80,1216] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:22:1] [1:36:1] |
Generators of the group modulo torsion |
j |
13651919/170748 |
j-invariant |
L |
4.7755316646213 |
L(r)(E,1)/r! |
Ω |
1.1890876530187 |
Real period |
R |
2.0080654493797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3162b1 101184bl1 75888u1 |
Quadratic twists by: -4 8 -3 |