Atkin-Lehner |
2+ 3+ 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
102942g |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1090560 |
Modular degree for the optimal curve |
Δ |
-9525222759290112 = -1 · 28 · 33 · 7 · 195 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -1 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-266421,53204405] |
[a1,a2,a3,a4,a6] |
Generators |
[298:-605:1] |
Generators of the group modulo torsion |
j |
-77457990726854689419/352786028121856 |
j-invariant |
L |
6.709550428377 |
L(r)(E,1)/r! |
Ω |
0.4113503083336 |
Real period |
R |
0.81555188715474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102942bf1 |
Quadratic twists by: -3 |