Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350ce |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
389283840 |
Modular degree for the optimal curve |
Δ |
-6.0218734850728E+28 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127805843138,-17586302496898108] |
[a1,a2,a3,a4,a6] |
Generators |
[675960024678901681154839185915869984263978532:5704626045263462392459088488398778575781691670:1637340488796869016459381355966521431149] |
Generators of the group modulo torsion |
j |
-200949790549290210416116825/52413521990961152 |
j-invariant |
L |
11.934888789864 |
L(r)(E,1)/r! |
Ω |
0.0039923800319999 |
Real period |
R |
67.941295749101 |
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 |
105350bo1 15050o1 |
Quadratic twists by: 5 -7 |