Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1550c |
Isogeny class |
Conductor |
1550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3003125000 = 23 · 58 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26651,-1676802] |
[a1,a2,a3,a4,a6] |
Generators |
[212:1381:1] |
Generators of the group modulo torsion |
j |
133974081659809/192200 |
j-invariant |
L |
1.5376897099941 |
L(r)(E,1)/r! |
Ω |
0.37365703802845 |
Real period |
R |
4.11524353484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12400x2 49600j2 13950ce2 310a2 |
Quadratic twists by: -4 8 -3 5 |