Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602f |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
14112000 |
Modular degree for the optimal curve |
Δ |
-3.1943272363796E+24 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -4 -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-106909114,434064874700] |
[a1,a2,a3,a4,a6] |
Generators |
[-9008:820700:1] [4978:-161344:1] |
Generators of the group modulo torsion |
j |
-28448852731909216489/672475186714464 |
j-invariant |
L |
8.4126899377621 |
L(r)(E,1)/r! |
Ω |
0.079620099138567 |
Real period |
R |
0.62893083386647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1722d1 |
Quadratic twists by: 41 |