Atkin-Lehner |
2- 3+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40710q |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
516800 |
Modular degree for the optimal curve |
Δ |
-131284161331200000 = -1 · 219 · 310 · 55 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 5 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55726,18129899] |
[a1,a2,a3,a4,a6] |
Generators |
[401:7575:1] |
Generators of the group modulo torsion |
j |
-19138055559849582049/131284161331200000 |
j-invariant |
L |
8.0421130072157 |
L(r)(E,1)/r! |
Ω |
0.28297155768369 |
Real period |
R |
0.747900441139 |
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 |
122130z1 |
Quadratic twists by: -3 |