Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440ci |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1631001175781250000 = 24 · 3 · 512 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313175,-27735000] |
[a1,a2,a3,a4,a6] |
Generators |
[825:16575:1] |
Generators of the group modulo torsion |
j |
1804588288006144/866455078125 |
j-invariant |
L |
6.842670729304 |
L(r)(E,1)/r! |
Ω |
0.21167279355947 |
Real period |
R |
2.6938868768523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920o1 |
Quadratic twists by: -7 |