Atkin-Lehner |
3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
61557c |
Isogeny class |
Conductor |
61557 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-366431625390798171 = -1 · 311 · 177 · 712 |
Discriminant |
Eigenvalues |
0 3- -3 0 1 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-66277,29833435] |
[a1,a2,a3,a4,a6] |
Generators |
[2051:92335:1] |
Generators of the group modulo torsion |
j |
-1333906112512/15180966459 |
j-invariant |
L |
5.375561083838 |
L(r)(E,1)/r! |
Ω |
0.25679386938802 |
Real period |
R |
0.23787920465709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3621a1 |
Quadratic twists by: 17 |