Atkin-Lehner |
2+ 3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630o |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-329857920000 = -1 · 210 · 36 · 54 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,450,-27500] |
[a1,a2,a3,a4,a6] |
Generators |
[300:5050:1] |
Generators of the group modulo torsion |
j |
13806727199/452480000 |
j-invariant |
L |
4.4944873436777 |
L(r)(E,1)/r! |
Ω |
0.46411588717101 |
Real period |
R |
2.4209941246987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070j1 |
Quadratic twists by: -3 |