Atkin-Lehner |
2- 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bq |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
1415831551200 = 25 · 33 · 52 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3078,31011] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:267:1] |
Generators of the group modulo torsion |
j |
129002571780745/56633262048 |
j-invariant |
L |
9.1869827392946 |
L(r)(E,1)/r! |
Ω |
0.76785444436706 |
Real period |
R |
0.3988161561281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050bh1 |
Quadratic twists by: 5 |