Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103880s |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-2165147986400000 = -1 · 28 · 55 · 73 · 534 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 3 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64708,-6719468] |
[a1,a2,a3,a4,a6] |
Generators |
[3388:196630:1] |
Generators of the group modulo torsion |
j |
-341242847474688/24657753125 |
j-invariant |
L |
3.0220715572738 |
L(r)(E,1)/r! |
Ω |
0.14904857124646 |
Real period |
R |
2.534468725718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103880bb1 |
Quadratic twists by: -7 |