Atkin-Lehner |
3+ 5+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
115785b |
Isogeny class |
Conductor |
115785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
817344 |
Modular degree for the optimal curve |
Δ |
-3392138671875 = -1 · 33 · 511 · 31 · 83 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -1 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-246033,-46971987] |
[a1,a2,a3,a4,a6] |
Generators |
[12349226702600105116707499472790498748569212:229643680404268282476767109321199060926574135:16368372873882189833838084627772659940288] |
Generators of the group modulo torsion |
j |
-61001432628092669952/125634765625 |
j-invariant |
L |
14.604435151106 |
L(r)(E,1)/r! |
Ω |
0.10718182925248 |
Real period |
R |
68.129249393119 |
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 |
115785d1 |
Quadratic twists by: -3 |