Atkin-Lehner |
5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
61985h |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-17045875 = -1 · 53 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65,300] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:24:1] |
Generators of the group modulo torsion |
j |
-625202361/347875 |
j-invariant |
L |
5.2527656643197 |
L(r)(E,1)/r! |
Ω |
2.035834147995 |
Real period |
R |
1.2900770108902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61985m1 |
Quadratic twists by: -7 |