Atkin-Lehner |
2+ 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170b |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-104247446208512000 = -1 · 239 · 53 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 6 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6826,-15532184] |
[a1,a2,a3,a4,a6] |
Generators |
[11396159201141820:524905967501526869:5257132155072] |
Generators of the group modulo torsion |
j |
35181473065532711/104247446208512000 |
j-invariant |
L |
4.2412518523731 |
L(r)(E,1)/r! |
Ω |
0.15547892426966 |
Real period |
R |
27.278628742099 |
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 |
121360t2 75850j2 |
Quadratic twists by: -4 5 |