Atkin-Lehner |
2- 3+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
55056l |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29568 |
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 |
[23406:247049:216] |
Generators of the group modulo torsion |
j |
287965184000/2877236883 |
j-invariant |
L |
5.5010287786783 |
L(r)(E,1)/r! |
Ω |
0.8339492052106 |
Real period |
R |
6.5963595196042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13764c1 |
Quadratic twists by: -4 |