Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050by |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
217582200 = 23 · 35 · 52 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-683,6777] |
[a1,a2,a3,a4,a6] |
Generators |
[28:85:1] |
Generators of the group modulo torsion |
j |
1409566453465/8703288 |
j-invariant |
L |
11.883767718082 |
L(r)(E,1)/r! |
Ω |
1.782827351272 |
Real period |
R |
0.22218954085744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050k1 |
Quadratic twists by: 5 |