Atkin-Lehner |
3- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945s |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15040 |
Modular degree for the optimal curve |
Δ |
-62214075 = -1 · 35 · 52 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11+ -3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-236,1370] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-158:1] [-11:52:1] |
Generators of the group modulo torsion |
j |
-1459817795584/62214075 |
j-invariant |
L |
4.430783004634 |
L(r)(E,1)/r! |
Ω |
1.9513054336775 |
Real period |
R |
0.1135338150595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65835bf1 109725o1 |
Quadratic twists by: -3 5 |