Atkin-Lehner |
3+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
52725c |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-2999850662109375 = -1 · 310 · 59 · 19 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73688,-8168344] |
[a1,a2,a3,a4,a6] |
Generators |
[1295:44852:1] |
Generators of the group modulo torsion |
j |
-2832007259987641/191990442375 |
j-invariant |
L |
2.5777786792189 |
L(r)(E,1)/r! |
Ω |
0.14431951779239 |
Real period |
R |
4.4654020444537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10545g1 |
Quadratic twists by: 5 |