Atkin-Lehner |
3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5037d |
Isogeny class |
Conductor |
5037 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-1223991 = -1 · 36 · 23 · 73 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 4 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26,26] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
1939096223/1223991 |
j-invariant |
L |
1.6997933371186 |
L(r)(E,1)/r! |
Ω |
1.6958492983854 |
Real period |
R |
2.0046514023822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592bb1 15111f1 125925v1 115851f1 |
Quadratic twists by: -4 -3 5 -23 |