Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930m |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-17763300 = -1 · 22 · 35 · 52 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69,292] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] [-4:24:1] |
Generators of the group modulo torsion |
j |
-35578826569/17763300 |
j-invariant |
L |
6.0835146032988 |
L(r)(E,1)/r! |
Ω |
2.036091399548 |
Real period |
R |
0.1493919822226 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790cr1 109650ce1 |
Quadratic twists by: -3 5 |