Atkin-Lehner |
2+ 3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528b |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2771371008 = 210 · 32 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2448,47376] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:228:1] [-10:266:1] |
Generators of the group modulo torsion |
j |
1585022354500/2706417 |
j-invariant |
L |
10.400302392539 |
L(r)(E,1)/r! |
Ω |
1.4345605566652 |
Real period |
R |
0.90622720190429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54264g1 |
Quadratic twists by: -4 |