Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344dt |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
13271040 |
Modular degree for the optimal curve |
Δ |
-6.6797185388773E+23 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21168236,-54327435696] |
[a1,a2,a3,a4,a6] |
Generators |
[201500:90426952:1] |
Generators of the group modulo torsion |
j |
-4001637980024799157233/2548110404539996912 |
j-invariant |
L |
5.4736973142813 |
L(r)(E,1)/r! |
Ω |
0.034209014152824 |
Real period |
R |
8.0003728217572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999498222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344s1 28336bo1 |
Quadratic twists by: -4 8 |