Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ei |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
733161802366844928 = 217 · 36 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40064115,-97607099086] |
[a1,a2,a3,a4,a6] |
Generators |
[-11972086304276009417:-210026104850378144:3275486903156831] |
Generators of the group modulo torsion |
j |
413160293352625/42592 |
j-invariant |
L |
6.3617984980628 |
L(r)(E,1)/r! |
Ω |
0.060008209535168 |
Real period |
R |
26.503867334745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702m2 8624n2 77616fc2 |
Quadratic twists by: -4 -3 -7 |