Atkin-Lehner |
3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
45423g |
Isogeny class |
Conductor |
45423 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-2146640242509 = -1 · 311 · 76 · 103 |
Discriminant |
Eigenvalues |
1 3- -1 7- 2 5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2655,88654] |
[a1,a2,a3,a4,a6] |
Generators |
[254:3842:1] |
Generators of the group modulo torsion |
j |
-24137569/25029 |
j-invariant |
L |
7.1395241724538 |
L(r)(E,1)/r! |
Ω |
0.74945203801712 |
Real period |
R |
1.1907907061282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15141c1 927a1 |
Quadratic twists by: -3 -7 |