Atkin-Lehner |
2+ 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050v |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-20332812500 = -1 · 22 · 58 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 11+ 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13867,632041] |
[a1,a2,a3,a4,a6] |
Generators |
[44:303:1] [-47:1109:1] |
Generators of the group modulo torsion |
j |
-754968515625/52052 |
j-invariant |
L |
4.2525435669147 |
L(r)(E,1)/r! |
Ω |
1.1546259352734 |
Real period |
R |
0.30692072622833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050bv1 |
Quadratic twists by: 5 |