Atkin-Lehner |
3+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341k |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-135531786708171 = -1 · 32 · 77 · 192 · 373 |
Discriminant |
Eigenvalues |
0 3+ 1 7- -3 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14765,894095] |
[a1,a2,a3,a4,a6] |
Generators |
[1391:51670:1] [-79:1249:1] |
Generators of the group modulo torsion |
j |
-3025974329344/1152001179 |
j-invariant |
L |
8.6706813598807 |
L(r)(E,1)/r! |
Ω |
0.54834891452202 |
Real period |
R |
0.3294238216519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14763g1 |
Quadratic twists by: -7 |