Atkin-Lehner |
7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
707a |
Isogeny class |
Conductor |
707 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104 |
Modular degree for the optimal curve |
Δ |
4949 = 72 · 101 |
Discriminant |
Eigenvalues |
-2 -2 -3 7+ -4 -1 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12,12] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [0:3:1] |
Generators of the group modulo torsion |
j |
207474688/4949 |
j-invariant |
L |
0.97385134602465 |
L(r)(E,1)/r! |
Ω |
4.3145192961889 |
Real period |
R |
0.11285745632049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11312l1 45248d1 6363a1 17675h1 |
Quadratic twists by: -4 8 -3 5 |