Atkin-Lehner |
2+ 3- 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
70290i |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1565709750000 = -1 · 24 · 36 · 56 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,111,60173] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-251:1] [-26:211:1] |
Generators of the group modulo torsion |
j |
206425071/2147750000 |
j-invariant |
L |
7.9007414364795 |
L(r)(E,1)/r! |
Ω |
0.66696067101058 |
Real period |
R |
0.49357866836991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7810b1 |
Quadratic twists by: -3 |