Atkin-Lehner |
3+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50901c |
Isogeny class |
Conductor |
50901 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
6633469221 = 3 · 196 · 47 |
Discriminant |
Eigenvalues |
-2 3+ -1 -3 1 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9506,359900] |
[a1,a2,a3,a4,a6] |
Generators |
[6945:1562:125] [10:515:1] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
3.9738467467933 |
L(r)(E,1)/r! |
Ω |
1.2679561640145 |
Real period |
R |
1.5670284429286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
141e1 |
Quadratic twists by: -19 |