Atkin-Lehner |
2- 3- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
13764c |
Isogeny class |
Conductor |
13764 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-46035790128 = -1 · 24 · 37 · 312 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,347,-9904] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1674:1] |
Generators of the group modulo torsion |
j |
287965184000/2877236883 |
j-invariant |
L |
5.6333387357017 |
L(r)(E,1)/r! |
Ω |
0.56010450576131 |
Real period |
R |
1.4368080746556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55056l1 41292i1 |
Quadratic twists by: -4 -3 |