Atkin-Lehner |
7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
46501a |
Isogeny class |
Conductor |
46501 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
378000 |
Modular degree for the optimal curve |
Δ |
-2019692837515260817 = -1 · 78 · 132 · 735 |
Discriminant |
Eigenvalues |
1 0 0 7+ -3 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,133663,-65771070] |
[a1,a2,a3,a4,a6] |
Generators |
[8326:272945:8] [3614:216390:1] |
Generators of the group modulo torsion |
j |
45811148268375/350349099217 |
j-invariant |
L |
10.655792553304 |
L(r)(E,1)/r! |
Ω |
0.13013979217008 |
Real period |
R |
2.7293195969294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46501c1 |
Quadratic twists by: -7 |