Atkin-Lehner |
7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30821k |
Isogeny class |
Conductor |
30821 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-124703823579139 = -1 · 79 · 174 · 37 |
Discriminant |
Eigenvalues |
0 2 -1 7- 3 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7089,483328] |
[a1,a2,a3,a4,a6] |
j |
976191488/3090277 |
j-invariant |
L |
3.3189910299376 |
L(r)(E,1)/r! |
Ω |
0.41487387874228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30821d1 |
Quadratic twists by: -7 |