Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bh |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
813244863240810000 = 24 · 34 · 54 · 74 · 114 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-300740,-46462795] |
[a1,a2,a3,a4,a6] |
Generators |
[-427:2293:1] |
Generators of the group modulo torsion |
j |
3008135455728568925761/813244863240810000 |
j-invariant |
L |
8.1622505572322 |
L(r)(E,1)/r! |
Ω |
0.20799678490059 |
Real period |
R |
2.452637237017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
90090bg4 |
Quadratic twists by: -3 |