Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944cl |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-55899275264 = -1 · 214 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ -3 3 7- 1 -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-946876,354640048] |
[a1,a2,a3,a4,a6] |
Generators |
[562:8:1] |
Generators of the group modulo torsion |
j |
-48707390098512/29 |
j-invariant |
L |
4.7097235127372 |
L(r)(E,1)/r! |
Ω |
0.68567443772983 |
Real period |
R |
0.85859324429325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944em1 5684h1 1856g1 |
Quadratic twists by: -4 8 -7 |