Atkin-Lehner |
2+ 3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
41610q |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
163893348371250 = 2 · 35 · 54 · 19 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52024,4521116] |
[a1,a2,a3,a4,a6] |
Generators |
[160:-628:1] [154:332:1] |
Generators of the group modulo torsion |
j |
15571230546142877689/163893348371250 |
j-invariant |
L |
7.532167853112 |
L(r)(E,1)/r! |
Ω |
0.57662944577214 |
Real period |
R |
1.3062405862792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830cv3 |
Quadratic twists by: -3 |