Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bi |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
329302260787500000 = 25 · 32 · 58 · 7 · 114 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-277015,48741197] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:-9654:1] |
Generators of the group modulo torsion |
j |
2350897362033200613361/329302260787500000 |
j-invariant |
L |
7.9817779258498 |
L(r)(E,1)/r! |
Ω |
0.29277962047535 |
Real period |
R |
0.17038792507336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090bd3 |
Quadratic twists by: -3 |