Atkin-Lehner |
2- 3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10074p |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-61894656 = -1 · 212 · 32 · 23 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29,371] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:22:1] [-1:20:1] |
Generators of the group modulo torsion |
j |
-2703045457/61894656 |
j-invariant |
L |
6.2355934822714 |
L(r)(E,1)/r! |
Ω |
1.6522456046692 |
Real period |
R |
0.62900187323346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592bd1 30222a1 |
Quadratic twists by: -4 -3 |