Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520w |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
-3888409687367680 = -1 · 213 · 5 · 377 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -3 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1172320,-488178048] |
[a1,a2,a3,a4,a6] |
Generators |
[295270305904794:-38796101438846778:17034106517] |
Generators of the group modulo torsion |
j |
-16954786009/370 |
j-invariant |
L |
11.778229920798 |
L(r)(E,1)/r! |
Ω |
0.072544988459368 |
Real period |
R |
20.2946994874 |
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 |
13690m1 2960j1 |
Quadratic twists by: -4 37 |