Atkin-Lehner |
2+ 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8710g |
Isogeny class |
Conductor |
8710 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
875840 |
Modular degree for the optimal curve |
Δ |
3.3388848931144E+22 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8177918,-1933813392] |
[a1,a2,a3,a4,a6] |
Generators |
[5349:325005:1] |
Generators of the group modulo torsion |
j |
60485585711847126379288921/33388848931143680000000 |
j-invariant |
L |
2.056045740701 |
L(r)(E,1)/r! |
Ω |
0.095561151175428 |
Real period |
R |
1.5368212735369 |
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 |
69680bb1 78390bp1 43550v1 113230o1 |
Quadratic twists by: -4 -3 5 13 |