Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950bw |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-524620800 = -1 · 210 · 34 · 52 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,77,-1039] |
[a1,a2,a3,a4,a6] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
2017917095/20984832 |
j-invariant |
L |
6.5916023627348 |
L(r)(E,1)/r! |
Ω |
0.81242549419036 |
Real period |
R |
0.40567426858656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850bu1 37950bm1 |
Quadratic twists by: -3 5 |