Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100br |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-474311092500000000 = -1 · 28 · 313 · 510 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,110625,-29956250] |
[a1,a2,a3,a4,a6] |
Generators |
[1094:37422:1] |
Generators of the group modulo torsion |
j |
82151600/260253 |
j-invariant |
L |
7.5366149810104 |
L(r)(E,1)/r! |
Ω |
0.1510708619336 |
Real period |
R |
4.1573288054934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35700bg1 107100bx1 |
Quadratic twists by: -3 5 |