Atkin-Lehner |
2+ 3- 7+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942m |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
345871072083382272 = 212 · 316 · 74 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-321147,64160613] |
[a1,a2,a3,a4,a6] |
j |
5024681666535336625/474445915066368 |
j-invariant |
L |
1.1807960630561 |
L(r)(E,1)/r! |
Ω |
0.29519905553343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34314t1 |
Quadratic twists by: -3 |