Atkin-Lehner |
2+ 3+ 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
52614a |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
318528 |
Modular degree for the optimal curve |
Δ |
-9531847996342272 = -1 · 221 · 39 · 37 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 3 1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,43833,-3107395] |
[a1,a2,a3,a4,a6] |
Generators |
[965:30130:1] |
Generators of the group modulo torsion |
j |
473184415828125/484268048384 |
j-invariant |
L |
4.2635026337614 |
L(r)(E,1)/r! |
Ω |
0.22221463694206 |
Real period |
R |
4.7966041891494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52614f1 |
Quadratic twists by: -3 |