Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350t |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
492800 |
Modular degree for the optimal curve |
Δ |
-3469591148437500 = -1 · 22 · 3 · 59 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39950,4164000] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1500:1] |
Generators of the group modulo torsion |
j |
-24389/12 |
j-invariant |
L |
3.2605480196575 |
L(r)(E,1)/r! |
Ω |
0.41505780737614 |
Real period |
R |
1.963911991068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79350dv1 150b1 |
Quadratic twists by: 5 -23 |