Atkin-Lehner |
2+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118408b |
Isogeny class |
Conductor |
118408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-15156224 = -1 · 210 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ -3 2 3 4 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,190] |
[a1,a2,a3,a4,a6] |
Generators |
[7:20:1] |
Generators of the group modulo torsion |
j |
-2052/41 |
j-invariant |
L |
5.1455258706964 |
L(r)(E,1)/r! |
Ω |
1.8623055506872 |
Real period |
R |
1.3814934228468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000255534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118408c1 |
Quadratic twists by: -19 |