Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616a |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-309302635373512704 = -1 · 211 · 39 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11+ 6 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-583443,173606706] |
[a1,a2,a3,a4,a6] |
Generators |
[-825:9666:1] |
Generators of the group modulo torsion |
j |
-94517766/1331 |
j-invariant |
L |
5.9212669355944 |
L(r)(E,1)/r! |
Ω |
0.30714035922116 |
Real period |
R |
4.8196750755596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808b1 77616c1 77616i1 |
Quadratic twists by: -4 -3 -7 |