Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450bm |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
551906250000 = 24 · 3 · 59 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45826,-3779452] |
[a1,a2,a3,a4,a6] |
Generators |
[1173:38869:1] |
Generators of the group modulo torsion |
j |
5448988635173/282576 |
j-invariant |
L |
4.2252688304284 |
L(r)(E,1)/r! |
Ω |
0.32630524422044 |
Real period |
R |
6.4744114678924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350fj1 30450cm1 |
Quadratic twists by: -3 5 |