Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070i |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
313600 |
Modular degree for the optimal curve |
Δ |
-577056580100000 = -1 · 25 · 55 · 79 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20701,148222] |
[a1,a2,a3,a4,a6] |
Generators |
[221658:7060507:216] |
Generators of the group modulo torsion |
j |
24313388273/14300000 |
j-invariant |
L |
4.8139987568265 |
L(r)(E,1)/r! |
Ω |
0.31397437351482 |
Real period |
R |
7.6662287815959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70070y1 |
Quadratic twists by: -7 |