Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296o |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1141647742393647104 = 228 · 72 · 11 · 534 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61509904,-185659730496] |
[a1,a2,a3,a4,a6] |
Generators |
[276508639607576236346966204203374213930836442:-16388605834479029910609321370579741292514249542:25601349425107287348098746078014181254753] |
Generators of the group modulo torsion |
j |
6283460927535303731070097/278722593357824 |
j-invariant |
L |
7.2241620393275 |
L(r)(E,1)/r! |
Ω |
0.053909250384085 |
Real period |
R |
67.002991021017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162k2 |
Quadratic twists by: -4 |