Atkin-Lehner |
2+ 3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674k |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5960054533639752 = 23 · 38 · 74 · 132 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1402337763,20213177512621] |
[a1,a2,a3,a4,a6] |
Generators |
[2703255:-1520114:125] |
Generators of the group modulo torsion |
j |
418363773366867122598323253553/8175657796488 |
j-invariant |
L |
3.7536521517758 |
L(r)(E,1)/r! |
Ω |
0.15106835216361 |
Real period |
R |
1.5529610015994 |
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 |
12558n3 |
Quadratic twists by: -3 |