Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600cx |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-14326308000000000 = -1 · 211 · 36 · 59 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118875,16793750] |
[a1,a2,a3,a4,a6] |
Generators |
[350:4250:1] |
Generators of the group modulo torsion |
j |
-63710026/4913 |
j-invariant |
L |
3.6990996871234 |
L(r)(E,1)/r! |
Ω |
0.38805406875648 |
Real period |
R |
1.5887389520131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200cu1 3400f1 30600bd1 |
Quadratic twists by: -4 -3 5 |