Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992do |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25804800 |
Modular degree for the optimal curve |
Δ |
-3.0940485205388E+25 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -5 1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-221581548,-1297447103664] |
[a1,a2,a3,a4,a6] |
Generators |
[923930205948474:282197221281497088:9649992689] |
Generators of the group modulo torsion |
j |
-233181060948366864507/5996473317588992 |
j-invariant |
L |
4.6670339516145 |
L(r)(E,1)/r! |
Ω |
0.019535598085964 |
Real period |
R |
14.931184634961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992n1 31248z1 124992dn1 |
Quadratic twists by: -4 8 -3 |