Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630bi |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-696695310556740000 = -1 · 25 · 312 · 54 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-111623,42674847] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-5454:1] [-247:7548:1] |
Generators of the group modulo torsion |
j |
-210985985036261161/955686297060000 |
j-invariant |
L |
11.434757387488 |
L(r)(E,1)/r! |
Ω |
0.24885420830227 |
Real period |
R |
0.76582707237154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210g2 |
Quadratic twists by: -3 |