Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950bt |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-7028057137500000 = -1 · 25 · 34 · 58 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11388,-4065219] |
[a1,a2,a3,a4,a6] |
Generators |
[435:-8793:1] |
Generators of the group modulo torsion |
j |
-418127215585/17991826272 |
j-invariant |
L |
7.5168853790964 |
L(r)(E,1)/r! |
Ω |
0.18361552461342 |
Real period |
R |
0.68230299831679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950bc1 |
Quadratic twists by: 5 |