Atkin-Lehner |
2- 3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350dm |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
1134 |
Product of Tamagawa factors cp |
deg |
1995840 |
Modular degree for the optimal curve |
Δ |
-7757545644450000000 = -1 · 27 · 39 · 58 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,194862,-129834108] |
[a1,a2,a3,a4,a6] |
Generators |
[1452:55974:1] |
Generators of the group modulo torsion |
j |
2094811769236415/19859316849792 |
j-invariant |
L |
12.751897792622 |
L(r)(E,1)/r! |
Ω |
0.11568624255045 |
Real period |
R |
0.097203085975779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350b1 |
Quadratic twists by: 5 |