Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030r |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
779639711718968100 = 22 · 312 · 52 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1840059,959624146] |
[a1,a2,a3,a4,a6] |
Generators |
[-952:43473:1] |
Generators of the group modulo torsion |
j |
688999042618248810121129/779639711718968100 |
j-invariant |
L |
4.5643267240727 |
L(r)(E,1)/r! |
Ω |
0.28247425190643 |
Real period |
R |
2.0197976865449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
12 |
Number of elements in the torsion subgroup |
Twists |
90090dv2 |
Quadratic twists by: -3 |