Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bh |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3.3869545882439E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4072690,-4226387635] |
[a1,a2,a3,a4,a6] |
Generators |
[26502:1079285:8] |
Generators of the group modulo torsion |
j |
-7470811550113286388118561/3386954588243903987310 |
j-invariant |
L |
8.1622505572322 |
L(r)(E,1)/r! |
Ω |
0.051999196225147 |
Real period |
R |
9.8105489480681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090bg7 |
Quadratic twists by: -3 |