Atkin-Lehner |
3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627a |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1039584 |
Modular degree for the optimal curve |
Δ |
-10287114227172363 = -1 · 3 · 78 · 296 |
Discriminant |
Eigenvalues |
-2 3+ -2 7+ 2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-96154,12502734] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:3784:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
1.9404016154298 |
L(r)(E,1)/r! |
Ω |
0.39628011600594 |
Real period |
R |
2.4482702653485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998242499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123627t1 147b1 |
Quadratic twists by: -7 29 |