Atkin-Lehner |
2- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20350bg |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
135072 |
Modular degree for the optimal curve |
Δ |
-28841013080000 = -1 · 26 · 54 · 117 · 37 |
Discriminant |
Eigenvalues |
2- -3 5- -2 11- -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43905,3561297] |
[a1,a2,a3,a4,a6] |
Generators |
[125:-184:1] |
Generators of the group modulo torsion |
j |
-14975328771651825/46145620928 |
j-invariant |
L |
4.0632839233844 |
L(r)(E,1)/r! |
Ω |
0.66612479398389 |
Real period |
R |
0.14523533156614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20350g1 |
Quadratic twists by: 5 |