Atkin-Lehner |
3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32025m |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
70615125 = 33 · 53 · 73 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -1 -1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-103,33] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-18:1] |
Generators of the group modulo torsion |
j |
976191488/564921 |
j-invariant |
L |
3.4625108430154 |
L(r)(E,1)/r! |
Ω |
1.6441760762386 |
Real period |
R |
0.35098743306299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075cb1 32025bc1 |
Quadratic twists by: -3 5 |