Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824l |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
630161926912 = 28 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 1 -4 7- -3 -4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7660,252664] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:686:1] |
Generators of the group modulo torsion |
j |
4812208/61 |
j-invariant |
L |
3.1789865435441 |
L(r)(E,1)/r! |
Ω |
0.9157385176288 |
Real period |
R |
1.7357501526472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11956d1 47824w1 |
Quadratic twists by: -4 -7 |