Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2442b |
Isogeny class |
Conductor |
2442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-42826704426 = -1 · 2 · 314 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-106,-10010] |
[a1,a2,a3,a4,a6] |
Generators |
[23:8:1] |
Generators of the group modulo torsion |
j |
-133667977897/42826704426 |
j-invariant |
L |
1.8731838668974 |
L(r)(E,1)/r! |
Ω |
0.51125546899939 |
Real period |
R |
3.6638901302387 |
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 |
19536bc2 78144x2 7326h2 61050ch2 |
Quadratic twists by: -4 8 -3 5 |