Atkin-Lehner |
2- 3+ 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
102942bf |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3271680 |
Modular degree for the optimal curve |
Δ |
-6943887391522491648 = -1 · 28 · 39 · 7 · 195 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 1 7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2397791,-1434121145] |
[a1,a2,a3,a4,a6] |
j |
-77457990726854689419/352786028121856 |
j-invariant |
L |
4.8516383775617 |
L(r)(E,1)/r! |
Ω |
0.060645474939785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102942g1 |
Quadratic twists by: -3 |