Atkin-Lehner |
5+ 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
14615a |
Isogeny class |
Conductor |
14615 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-62524796875 = -1 · 56 · 373 · 79 |
Discriminant |
Eigenvalues |
-1 2 5+ 2 1 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-276446,55830118] |
[a1,a2,a3,a4,a6] |
Generators |
[302:-117:1] |
Generators of the group modulo torsion |
j |
-2336440584192970184929/62524796875 |
j-invariant |
L |
4.5280118627087 |
L(r)(E,1)/r! |
Ω |
0.80669726298542 |
Real period |
R |
2.8065124740547 |
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 |
73075b1 |
Quadratic twists by: 5 |