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 |
51943731840000 = 210 · 34 · 54 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-266935,52970765] |
[a1,a2,a3,a4,a6] |
Generators |
[283:-582:1] |
Generators of the group modulo torsion |
j |
2103489642591399993841/51943731840000 |
j-invariant |
L |
7.9817779258498 |
L(r)(E,1)/r! |
Ω |
0.5855592409507 |
Real period |
R |
0.34077585014672 |
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 |
90090bd2 |
Quadratic twists by: -3 |