Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050ck |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
2688 |
Product of Tamagawa factors cp |
deg |
34836480 |
Modular degree for the optimal curve |
Δ |
8.748394292183E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-758507838,8027929652292] |
[a1,a2,a3,a4,a6] |
Generators |
[29372:3315314:1] |
Generators of the group modulo torsion |
j |
3088758153690415802056122649/5598972346997145600000 |
j-invariant |
L |
12.376546916272 |
L(r)(E,1)/r! |
Ω |
0.060532267135959 |
Real period |
R |
1.217035568066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12210d1 |
Quadratic twists by: 5 |