Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350cu |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
23500800 |
Modular degree for the optimal curve |
Δ |
8.66659411968E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1101971763,-14080496632719] |
[a1,a2,a3,a4,a6] |
Generators |
[69639:15678422:1] |
Generators of the group modulo torsion |
j |
75771358180611955873548893/443729618927616 |
j-invariant |
L |
7.3296189414468 |
L(r)(E,1)/r! |
Ω |
0.026203357268761 |
Real period |
R |
6.9930151178672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70350bh1 |
Quadratic twists by: 5 |