Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950cd |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
312740454250000000 = 27 · 59 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1767088,-903886208] |
[a1,a2,a3,a4,a6] |
Generators |
[-6114:7957:8] |
Generators of the group modulo torsion |
j |
331963239764521/170128000 |
j-invariant |
L |
12.236340753006 |
L(r)(E,1)/r! |
Ω |
0.13094784860553 |
Real period |
R |
3.3372993472387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190c1 10850t1 |
Quadratic twists by: 5 -7 |