Atkin-Lehner |
3+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975a |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-552076171875 = -1 · 33 · 59 · 192 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 -1 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1800,46281] |
[a1,a2,a3,a4,a6] |
Generators |
[45:237:1] |
Generators of the group modulo torsion |
j |
-1528823808/1308625 |
j-invariant |
L |
6.8846745719961 |
L(r)(E,1)/r! |
Ω |
0.84461567510108 |
Real period |
R |
1.0189063969254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975d1 24795c1 |
Quadratic twists by: -3 5 |