Atkin-Lehner |
2+ 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640b |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-48485472309031680 = -1 · 28 · 39 · 5 · 13 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100143,16156098] |
[a1,a2,a3,a4,a6] |
Generators |
[151:2116:1] [-2782:23903:8] |
Generators of the group modulo torsion |
j |
-22042164886128/9622332785 |
j-invariant |
L |
11.11001307554 |
L(r)(E,1)/r! |
Ω |
0.33446715531191 |
Real period |
R |
5.5361754251629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107640v2 |
Quadratic twists by: -3 |