Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bi |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-81004776652800 = -1 · 220 · 32 · 52 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16055,888077] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1306:1] |
Generators of the group modulo torsion |
j |
-457674096098484721/81004776652800 |
j-invariant |
L |
7.9817779258498 |
L(r)(E,1)/r! |
Ω |
0.5855592409507 |
Real period |
R |
0.68155170029344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090bd1 |
Quadratic twists by: -3 |