Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950bs |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-233130240000000 = -1 · 214 · 32 · 57 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 -6 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81213,8904531] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:-4108:1] [165:92:1] |
Generators of the group modulo torsion |
j |
-3791234790830089/14920335360 |
j-invariant |
L |
12.486568901515 |
L(r)(E,1)/r! |
Ω |
0.56017592284339 |
Real period |
R |
0.066340601103223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390i1 |
Quadratic twists by: 5 |