Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680bb |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
21020160 |
Modular degree for the optimal curve |
Δ |
1.3676072522196E+26 |
Discriminant |
Eigenvalues |
2- 2 5- 1 2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130846680,123764057072] |
[a1,a2,a3,a4,a6] |
Generators |
[6366083:383076576:6859] |
Generators of the group modulo torsion |
j |
60485585711847126379288921/33388848931143680000000 |
j-invariant |
L |
10.786041986894 |
L(r)(E,1)/r! |
Ω |
0.05060559392306 |
Real period |
R |
15.224237298151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710g1 |
Quadratic twists by: -4 |