Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
104430a |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19257600 |
Modular degree for the optimal curve |
Δ |
-6.3870535571779E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3641198,121620841908] |
[a1,a2,a3,a4,a6] |
Generators |
[7139:674318:1] |
Generators of the group modulo torsion |
j |
-616295051/737280000 |
j-invariant |
L |
3.4713719474698 |
L(r)(E,1)/r! |
Ω |
0.060672651677862 |
Real period |
R |
7.1518465295148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104430p1 |
Quadratic twists by: -59 |