Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cs |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
405 |
Product of Tamagawa factors cp |
deg |
23846400 |
Modular degree for the optimal curve |
Δ |
-1.2585182902605E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,44732229,-125980122735] |
[a1,a2,a3,a4,a6] |
Generators |
[25866:4269225:1] |
Generators of the group modulo torsion |
j |
126404531110923791/160707758400000 |
j-invariant |
L |
14.016664185949 |
L(r)(E,1)/r! |
Ω |
0.038022504493634 |
Real period |
R |
8.1920281156208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016574 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111090dc1 |
Quadratic twists by: -23 |