Atkin-Lehner |
5- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
61985l |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
10203665054754325 = 52 · 78 · 11 · 235 |
Discriminant |
Eigenvalues |
-2 -1 5- 7+ 11+ -2 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-491290,132617218] |
[a1,a2,a3,a4,a6] |
Generators |
[1699:64802:1] |
Generators of the group modulo torsion |
j |
2274856724525056/1769994325 |
j-invariant |
L |
2.5854044564494 |
L(r)(E,1)/r! |
Ω |
0.4037123925354 |
Real period |
R |
0.2134691680264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61985f1 |
Quadratic twists by: -7 |