Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350bk |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-467692076250 = -1 · 2 · 35 · 54 · 73 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 5 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20101,1095698] |
[a1,a2,a3,a4,a6] |
Generators |
[112:446:1] |
Generators of the group modulo torsion |
j |
-1437029312846425/748307322 |
j-invariant |
L |
6.1186461073298 |
L(r)(E,1)/r! |
Ω |
0.92326276922618 |
Real period |
R |
0.22090663356345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350ck1 |
Quadratic twists by: 5 |