Atkin-Lehner |
5+ 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675c |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-20544302796875 = -1 · 56 · 11 · 132 · 294 |
Discriminant |
Eigenvalues |
0 -3 5+ -2 11+ 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3350,204906] |
[a1,a2,a3,a4,a6] |
Generators |
[306:5466:1] |
Generators of the group modulo torsion |
j |
266095853568/1314835379 |
j-invariant |
L |
2.3715674965101 |
L(r)(E,1)/r! |
Ω |
0.4906739206526 |
Real period |
R |
1.2083215539886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147a1 |
Quadratic twists by: 5 |