Atkin-Lehner |
2- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
61936j |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1778112 |
Modular degree for the optimal curve |
Δ |
955083451793408 = 221 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 0 4 7+ 1 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10612763,13307326410] |
[a1,a2,a3,a4,a6] |
Generators |
[12971595:319510430:9261] |
Generators of the group modulo torsion |
j |
5598411813720369/40448 |
j-invariant |
L |
8.2884140011877 |
L(r)(E,1)/r! |
Ω |
0.34151436308102 |
Real period |
R |
12.134795629888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7742i1 61936t1 |
Quadratic twists by: -4 -7 |