Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450cd |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20886892031250 = 2 · 33 · 57 · 7 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-252438,-48922719] |
[a1,a2,a3,a4,a6] |
Generators |
[-5095610:2790867:17576] |
Generators of the group modulo torsion |
j |
113859162704793241/1336761090 |
j-invariant |
L |
7.2386508066196 |
L(r)(E,1)/r! |
Ω |
0.21299095899555 |
Real period |
R |
8.4964296615648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350cb4 6090n3 |
Quadratic twists by: -3 5 |