Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350bg |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
3168000 |
Modular degree for the optimal curve |
Δ |
3.76859693448E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6442951,-6288307702] |
[a1,a2,a3,a4,a6] |
Generators |
[-1448:3086:1] |
Generators of the group modulo torsion |
j |
75721300783988411785/96476081522688 |
j-invariant |
L |
5.3230606147407 |
L(r)(E,1)/r! |
Ω |
0.094767970995045 |
Real period |
R |
0.62410450821929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350ci1 |
Quadratic twists by: 5 |