Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670o |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
510048 |
Modular degree for the optimal curve |
Δ |
6002034090752000 = 211 · 53 · 710 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -5 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-266561,-52951361] |
[a1,a2,a3,a4,a6] |
Generators |
[623:4512:1] |
Generators of the group modulo torsion |
j |
7415377088161/21248000 |
j-invariant |
L |
11.700190497503 |
L(r)(E,1)/r! |
Ω |
0.21014796815029 |
Real period |
R |
5.061451181057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670v1 |
Quadratic twists by: -7 |