Atkin-Lehner |
2+ 3+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610h |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
328053240000 = 26 · 34 · 54 · 19 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6827,212541] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-211:1] |
Generators of the group modulo torsion |
j |
35197580765826361/328053240000 |
j-invariant |
L |
4.0943871095099 |
L(r)(E,1)/r! |
Ω |
0.96820956565989 |
Real period |
R |
0.52860290461935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830ch2 |
Quadratic twists by: -3 |