Atkin-Lehner |
2+ 3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942f |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-588834828288 = -1 · 212 · 33 · 73 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294,37044] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-210:1] |
Generators of the group modulo torsion |
j |
-104287581243/21808697344 |
j-invariant |
L |
3.1439827589979 |
L(r)(E,1)/r! |
Ω |
0.74877972712741 |
Real period |
R |
0.69980144166084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998849131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942be1 |
Quadratic twists by: -3 |