Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608l |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1647378432 = 216 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,432] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:48:1] [-11:49:1] |
Generators of the group modulo torsion |
j |
1687500/931 |
j-invariant |
L |
10.77685994099 |
L(r)(E,1)/r! |
Ω |
1.3007619432053 |
Real period |
R |
2.0712590795928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608de1 9576e1 76608k1 |
Quadratic twists by: -4 8 -3 |