Atkin-Lehner |
2+ 3- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658bb |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
765811200 |
Modular degree for the optimal curve |
Δ |
-1554150278975551488 = -1 · 211 · 35 · 78 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1363510143112,612823756358571734] |
[a1,a2,a3,a4,a6] |
Generators |
[5154270476228:-2576785077539:7645373] |
Generators of the group modulo torsion |
j |
-48631146794129815603397797611320377/269593049088 |
j-invariant |
L |
3.9174012419637 |
L(r)(E,1)/r! |
Ω |
0.037653872188475 |
Real period |
R |
10.403714184707 |
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 |
119658l1 |
Quadratic twists by: -7 |