Atkin-Lehner |
2+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760h |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-2711170784000 = -1 · 28 · 53 · 75 · 712 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3225,107125] |
[a1,a2,a3,a4,a6] |
Generators |
[60:355:1] |
Generators of the group modulo torsion |
j |
-14494644284416/10590510875 |
j-invariant |
L |
5.1816023692041 |
L(r)(E,1)/r! |
Ω |
0.74362545211046 |
Real period |
R |
1.1613378649382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19880e1 |
Quadratic twists by: -4 |