Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224cs |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
229632 |
Modular degree for the optimal curve |
Δ |
-1030892814336 = -1 · 225 · 3 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43120,-3461164] |
[a1,a2,a3,a4,a6] |
Generators |
[242570:10624512:125] |
Generators of the group modulo torsion |
j |
-2164761684272881/251682816 |
j-invariant |
L |
9.555713745995 |
L(r)(E,1)/r! |
Ω |
0.16565174010295 |
Real period |
R |
7.2106952666223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778l1 |
Quadratic twists by: -4 |