Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
102300d |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-49513200 = -1 · 24 · 3 · 52 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47058,-3913503] |
[a1,a2,a3,a4,a6] |
Generators |
[548053:9061841:1331] |
Generators of the group modulo torsion |
j |
-28811996003680000/123783 |
j-invariant |
L |
5.3878753122818 |
L(r)(E,1)/r! |
Ω |
0.16207290760539 |
Real period |
R |
11.081176168112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999786953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102300z2 |
Quadratic twists by: 5 |