Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304l |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1418685054976 = 219 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 -4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15244,722160] |
[a1,a2,a3,a4,a6] |
Generators |
[40:420:1] |
Generators of the group modulo torsion |
j |
1494447319737/5411854 |
j-invariant |
L |
5.0367918839779 |
L(r)(E,1)/r! |
Ω |
0.85674398602444 |
Real period |
R |
1.9596643284109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304q2 322a2 92736ce2 72128l2 |
Quadratic twists by: -4 8 -3 -7 |