Atkin-Lehner |
2+ 3- 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614d |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-18862996002475968 = -1 · 26 · 316 · 7 · 232 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 4 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,53766,4529524] |
[a1,a2,a3,a4,a6] |
Generators |
[108:3350:1] |
Generators of the group modulo torsion |
j |
23578426724422751/25875165984192 |
j-invariant |
L |
3.2943227940059 |
L(r)(E,1)/r! |
Ω |
0.2567427769982 |
Real period |
R |
3.2078047703952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999923288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41538i1 |
Quadratic twists by: -3 |