Atkin-Lehner |
2+ 3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030v |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-318878437878000 = -1 · 24 · 36 · 53 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14937,-493094] |
[a1,a2,a3,a4,a6] |
Generators |
[35:252:1] |
Generators of the group modulo torsion |
j |
368600270735150999/318878437878000 |
j-invariant |
L |
5.3870280553347 |
L(r)(E,1)/r! |
Ω |
0.29924019373983 |
Real period |
R |
1.5001962102776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090di1 |
Quadratic twists by: -3 |