Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605n |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-106735290515 = -1 · 5 · 79 · 232 |
Discriminant |
Eigenvalues |
2 0 5+ 7- 4 5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1127,-5917] |
[a1,a2,a3,a4,a6] |
Generators |
[12754:509351:8] |
Generators of the group modulo torsion |
j |
2543616/1715 |
j-invariant |
L |
12.891559326339 |
L(r)(E,1)/r! |
Ω |
0.60075312558554 |
Real period |
R |
5.3647491527213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515r1 129605be1 |
Quadratic twists by: -7 -23 |