Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bm |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
33669120 |
Modular degree for the optimal curve |
Δ |
626759069956560 = 24 · 38 · 5 · 175 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1990166201,-34172260020204] |
[a1,a2,a3,a4,a6] |
Generators |
[22081004350853636:-5854178445118717977:232381513792] |
Generators of the group modulo torsion |
j |
54484349321873228599056243933184/39172441872285 |
j-invariant |
L |
2.6618404645344 |
L(r)(E,1)/r! |
Ω |
0.022603579430352 |
Real period |
R |
23.552380515706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997961233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29580b1 |
Quadratic twists by: -4 |