Atkin-Lehner |
2+ 5+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75850a |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5492308028656250000 = 24 · 59 · 37 · 416 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2299775,-1338596875] |
[a1,a2,a3,a4,a6] |
Generators |
[-202304975:-359794400:226981] |
Generators of the group modulo torsion |
j |
86091450891473665009/351507713834000 |
j-invariant |
L |
6.2653320066652 |
L(r)(E,1)/r! |
Ω |
0.12262664922755 |
Real period |
R |
12.773186020153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170l3 |
Quadratic twists by: 5 |