Atkin-Lehner |
5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63175a |
Isogeny class |
Conductor |
63175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2072520 |
Modular degree for the optimal curve |
Δ |
1160985754755859375 = 510 · 7 · 198 |
Discriminant |
Eigenvalues |
-1 3 5+ 7+ -6 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-267930,-12659678] |
[a1,a2,a3,a4,a6] |
Generators |
[-95691204:1499681170:250047] |
Generators of the group modulo torsion |
j |
12825/7 |
j-invariant |
L |
7.2714484349493 |
L(r)(E,1)/r! |
Ω |
0.22403413957981 |
Real period |
R |
10.818958884292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63175t1 63175g1 |
Quadratic twists by: 5 -19 |