Atkin-Lehner |
2+ 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650a |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2966531582281250 = -1 · 2 · 56 · 17 · 895 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1491626,-701322602] |
[a1,a2,a3,a4,a6] |
Generators |
[354464125639474373490879150134563961829465025700289806121086:-14404623738329379050927821865230447503841560026497819524437142:149792910149796204628996890327456323482335090259934969957] |
Generators of the group modulo torsion |
j |
-23490004606070178961/189858021266 |
j-invariant |
L |
6.4386290557973 |
L(r)(E,1)/r! |
Ω |
0.068305299051316 |
Real period |
R |
94.262511770282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3026d2 |
Quadratic twists by: 5 |