Atkin-Lehner |
3+ 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775d |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13696 |
Modular degree for the optimal curve |
Δ |
1166625 = 32 · 53 · 17 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-103,356] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:27:1] [-58:249:8] |
Generators of the group modulo torsion |
j |
967361669/9333 |
j-invariant |
L |
5.7750120783138 |
L(r)(E,1)/r! |
Ω |
2.7542633331647 |
Real period |
R |
2.0967537885294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77775l1 |
Quadratic twists by: 5 |