Atkin-Lehner |
3- 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
7107b |
Isogeny class |
Conductor |
7107 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
21960 |
Modular degree for the optimal curve |
Δ |
7199092001403 = 33 · 23 · 1035 |
Discriminant |
Eigenvalues |
1 3- 0 3 -1 -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50796,4400299] |
[a1,a2,a3,a4,a6] |
Generators |
[41:1524:1] |
Generators of the group modulo torsion |
j |
14494390755747981625/7199092001403 |
j-invariant |
L |
6.2326820365946 |
L(r)(E,1)/r! |
Ω |
0.73466906739334 |
Real period |
R |
0.56557728399705 |
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 |
113712l1 21321e1 |
Quadratic twists by: -4 -3 |