Atkin-Lehner |
2- 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bz |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
-4.0563023542726E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,419055,-288051543] |
[a1,a2,a3,a4,a6] |
Generators |
[522:8283:1] |
Generators of the group modulo torsion |
j |
8138356832616498699119/40563023542726164480 |
j-invariant |
L |
10.771044684434 |
L(r)(E,1)/r! |
Ω |
0.10263437315755 |
Real period |
R |
2.6236445824782 |
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 |
90090s1 |
Quadratic twists by: -3 |