Atkin-Lehner |
3+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
103155d |
Isogeny class |
Conductor |
103155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-1229356358260875 = -1 · 314 · 53 · 132 · 233 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -2 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1319,-1687269] |
[a1,a2,a3,a4,a6] |
Generators |
[859:25150:1] |
Generators of the group modulo torsion |
j |
20842283008/101040220125 |
j-invariant |
L |
2.5652552266382 |
L(r)(E,1)/r! |
Ω |
0.22471857888812 |
Real period |
R |
1.42692653285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103155f1 |
Quadratic twists by: -23 |