Atkin-Lehner |
2+ 3+ 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
10074j |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
194427092746512 = 24 · 310 · 232 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15556,321664] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:430:1] [-84:1064:1] |
Generators of the group modulo torsion |
j |
416352461816289097/194427092746512 |
j-invariant |
L |
3.5138263039244 |
L(r)(E,1)/r! |
Ω |
0.50591908702193 |
Real period |
R |
1.1575718970564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592bk1 30222q1 |
Quadratic twists by: -4 -3 |