Atkin-Lehner |
3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
6405h |
Isogeny class |
Conductor |
6405 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-4863796875 = -1 · 36 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ -2 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6830,219578] |
[a1,a2,a3,a4,a6] |
Generators |
[74:337:1] |
Generators of the group modulo torsion |
j |
-35241096113238016/4863796875 |
j-invariant |
L |
1.6188406358595 |
L(r)(E,1)/r! |
Ω |
1.3202401207884 |
Real period |
R |
0.10218094738787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102480ch1 19215l1 32025z1 44835s1 |
Quadratic twists by: -4 -3 5 -7 |