Atkin-Lehner |
2+ 3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10074b |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-463197362112 = -1 · 26 · 310 · 23 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -6 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1906,7668] |
[a1,a2,a3,a4,a6] |
Generators |
[4:122:1] |
Generators of the group modulo torsion |
j |
765131930989847/463197362112 |
j-invariant |
L |
3.2459924195967 |
L(r)(E,1)/r! |
Ω |
0.57513578737287 |
Real period |
R |
2.8219356983712 |
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 |
80592y1 30222k1 |
Quadratic twists by: -4 -3 |