Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62328bc |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-117653324544 = -1 · 28 · 32 · 73 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28569,-1849203] |
[a1,a2,a3,a4,a6] |
Generators |
[279:3438:1] |
Generators of the group modulo torsion |
j |
-29369053164544/1339893 |
j-invariant |
L |
6.8857842644738 |
L(r)(E,1)/r! |
Ω |
0.18360873719709 |
Real period |
R |
4.6878108644425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656bd1 62328bo1 |
Quadratic twists by: -4 -7 |