Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90300k |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1194893597772000000 = 28 · 310 · 56 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-700308,219587112] |
[a1,a2,a3,a4,a6] |
Generators |
[262:7350:1] |
Generators of the group modulo torsion |
j |
9495800976618448/298723399443 |
j-invariant |
L |
6.0630805000464 |
L(r)(E,1)/r! |
Ω |
0.27219397682673 |
Real period |
R |
1.2374917658942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3612f2 |
Quadratic twists by: 5 |