Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030q |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2796970176000000 = 212 · 34 · 56 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97408084,-370041249454] |
[a1,a2,a3,a4,a6] |
Generators |
[-1954505:976121:343] |
Generators of the group modulo torsion |
j |
102213605637013223543255884729/2796970176000000 |
j-invariant |
L |
4.9753807722065 |
L(r)(E,1)/r! |
Ω |
0.048056352546319 |
Real period |
R |
4.3138424202182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090du4 |
Quadratic twists by: -3 |