Atkin-Lehner |
3+ 5- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51615b |
Isogeny class |
Conductor |
51615 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24000975 = 33 · 52 · 312 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-602,5826] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:89:1] |
Generators of the group modulo torsion |
j |
892221974883/888925 |
j-invariant |
L |
4.9027702141126 |
L(r)(E,1)/r! |
Ω |
2.1201320230101 |
Real period |
R |
1.1562417247829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51615a2 |
Quadratic twists by: -3 |