Atkin-Lehner |
2+ 5- 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
61640c |
Isogeny class |
Conductor |
61640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
137600 |
Modular degree for the optimal curve |
Δ |
-16132343750000 = -1 · 24 · 510 · 23 · 672 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -2 -1 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26540,1684237] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:1675:1] |
Generators of the group modulo torsion |
j |
-129217950566415616/1008271484375 |
j-invariant |
L |
5.258028407221 |
L(r)(E,1)/r! |
Ω |
0.70016267337814 |
Real period |
R |
0.18774309909758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123280c1 |
Quadratic twists by: -4 |