Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7400h |
Isogeny class |
Conductor |
7400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
148000000 = 28 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 1 6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,1163] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:50:1] |
Generators of the group modulo torsion |
j |
351232/37 |
j-invariant |
L |
4.8337418918987 |
L(r)(E,1)/r! |
Ω |
1.7761337458077 |
Real period |
R |
0.68037414177114 |
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 |
14800g1 59200h1 66600r1 296a1 |
Quadratic twists by: -4 8 -3 5 |