Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050co |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
1631136294136800 = 25 · 35 · 52 · 112 · 375 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-335678,74803812] |
[a1,a2,a3,a4,a6] |
Generators |
[-542:10150:1] |
Generators of the group modulo torsion |
j |
167321758865384091145/65245451765472 |
j-invariant |
L |
11.605314421996 |
L(r)(E,1)/r! |
Ω |
0.4658506342697 |
Real period |
R |
2.4912093207247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000357 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
61050o2 |
Quadratic twists by: 5 |