Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450z |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-2074284450000000 = -1 · 27 · 35 · 58 · 7 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,31874,65648] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-3349:1] |
Generators of the group modulo torsion |
j |
229209691863599/132754204800 |
j-invariant |
L |
4.306559250253 |
L(r)(E,1)/r! |
Ω |
0.27855793104724 |
Real period |
R |
0.51533975165864 |
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 |
91350eb1 6090w1 |
Quadratic twists by: -3 5 |