Atkin-Lehner |
2- 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
50840i |
Isogeny class |
Conductor |
50840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33351040000 = 210 · 54 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1003,8502] |
[a1,a2,a3,a4,a6] |
Generators |
[51:300:1] |
Generators of the group modulo torsion |
j |
108974918916/32569375 |
j-invariant |
L |
3.0718750103773 |
L(r)(E,1)/r! |
Ω |
1.0818964219461 |
Real period |
R |
1.4196714898145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680d2 |
Quadratic twists by: -4 |