Atkin-Lehner |
2- 3- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bt |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
Δ |
834505270358760000 = 26 · 36 · 54 · 72 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12180181,16360637345] |
[a1,a2,a3,a4,a6] |
Generators |
[-2314:180479:1] |
Generators of the group modulo torsion |
j |
199841159336796255944706769/834505270358760000 |
j-invariant |
L |
9.7380353307345 |
L(r)(E,1)/r! |
Ω |
0.24815751400089 |
Real period |
R |
3.2701123215836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
12 |
Number of elements in the torsion subgroup |
Twists |
90090cd2 |
Quadratic twists by: -3 |