Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20230m |
Isogeny class |
Conductor |
20230 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-74245648712990720 = -1 · 219 · 5 · 78 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,92814,7347199] |
[a1,a2,a3,a4,a6] |
Generators |
[2041:92275:1] |
Generators of the group modulo torsion |
j |
17997704835884047/15112079933440 |
j-invariant |
L |
5.5251300615483 |
L(r)(E,1)/r! |
Ω |
0.22340454965389 |
Real period |
R |
0.081353624925995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150d1 20230o1 |
Quadratic twists by: 5 17 |