Atkin-Lehner |
2- 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224ch |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-20386308096 = -1 · 213 · 35 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1072,14804] |
[a1,a2,a3,a4,a6] |
Generators |
[20:42:1] [-22:168:1] |
Generators of the group modulo torsion |
j |
-33293019313/4977126 |
j-invariant |
L |
10.169603071503 |
L(r)(E,1)/r! |
Ω |
1.1734160758447 |
Real period |
R |
0.21666660447284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778o1 |
Quadratic twists by: -4 |