Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050r |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-7636983177260937500 = -1 · 22 · 58 · 710 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54817,133064841] |
[a1,a2,a3,a4,a6] |
Generators |
[140:11249:1] |
Generators of the group modulo torsion |
j |
-1165880220753249/488766923344700 |
j-invariant |
L |
3.8179038482708 |
L(r)(E,1)/r! |
Ω |
0.1902097179078 |
Real period |
R |
0.66906918851447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010q1 |
Quadratic twists by: 5 |