Atkin-Lehner |
7- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
65611g |
Isogeny class |
Conductor |
65611 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-5565448416619 = -1 · 79 · 13 · 1032 |
Discriminant |
Eigenvalues |
-2 -2 -1 7- 2 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-91156,10563452] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-52:1] [128:1004:1] |
Generators of the group modulo torsion |
j |
-712026267406336/47305531 |
j-invariant |
L |
3.38456109321 |
L(r)(E,1)/r! |
Ω |
0.72271408742272 |
Real period |
R |
1.1707814860925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9373a1 |
Quadratic twists by: -7 |