Atkin-Lehner |
2- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100100k |
Isogeny class |
Conductor |
100100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-26610283700000000 = -1 · 28 · 58 · 7 · 113 · 134 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 11- 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43625,-7021250] |
[a1,a2,a3,a4,a6] |
Generators |
[350:7150:1] |
Generators of the group modulo torsion |
j |
91818465840/266102837 |
j-invariant |
L |
3.7599190410281 |
L(r)(E,1)/r! |
Ω |
0.19272997353785 |
Real period |
R |
0.54190945789855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100100i1 |
Quadratic twists by: 5 |