Atkin-Lehner |
2- 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108974f |
Isogeny class |
Conductor |
108974 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
688896 |
Modular degree for the optimal curve |
Δ |
-13292819885538064 = -1 · 24 · 238 · 1032 |
Discriminant |
Eigenvalues |
2- 0 -1 -4 -2 -3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82888,10750875] |
[a1,a2,a3,a4,a6] |
Generators |
[1455:53759:1] [237:1973:1] |
Generators of the group modulo torsion |
j |
-804213009/169744 |
j-invariant |
L |
13.751948094545 |
L(r)(E,1)/r! |
Ω |
0.38093196639045 |
Real period |
R |
1.5041999302395 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108974d1 |
Quadratic twists by: -23 |