Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93100n |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-840227500000000 = -1 · 28 · 510 · 72 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33133,-2719137] |
[a1,a2,a3,a4,a6] |
Generators |
[7594:229375:8] |
Generators of the group modulo torsion |
j |
-20524048384/4286875 |
j-invariant |
L |
3.5913428371361 |
L(r)(E,1)/r! |
Ω |
0.17497017607872 |
Real period |
R |
5.1313642705948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18620l1 93100c1 |
Quadratic twists by: 5 -7 |