Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090v |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72334080 |
Modular degree for the optimal curve |
Δ |
-3.9624169728781E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 -5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3409874499,76639752950206] |
[a1,a2,a3,a4,a6] |
Generators |
[1304064965:43581978112:42875] |
Generators of the group modulo torsion |
j |
-55990740186526573089769/50598481920 |
j-invariant |
L |
5.1169975127437 |
L(r)(E,1)/r! |
Ω |
0.087200857539409 |
Real period |
R |
9.7800978437074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090bj1 |
Quadratic twists by: -23 |