Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11700v |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-8.51162814333E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-366375,-452011250] |
[a1,a2,a3,a4,a6] |
Generators |
[1370974:21603348:1331] |
Generators of the group modulo torsion |
j |
-74605986640/1167575877 |
j-invariant |
L |
4.6170769413341 |
L(r)(E,1)/r! |
Ω |
0.082251829848974 |
Real period |
R |
9.3555708726311 |
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 |
46800fg1 3900m1 11700g1 |
Quadratic twists by: -4 -3 5 |