Atkin-Lehner |
2+ 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7130c |
Isogeny class |
Conductor |
7130 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-7543540 = -1 · 22 · 5 · 233 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 6 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11,132] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
167284151/7543540 |
j-invariant |
L |
2.1898278328958 |
L(r)(E,1)/r! |
Ω |
1.7794538501563 |
Real period |
R |
1.8459269112572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57040f1 64170bg1 35650k1 |
Quadratic twists by: -4 -3 5 |