Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850o |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-326475975000000 = -1 · 26 · 3 · 58 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-114275,-14941875] |
[a1,a2,a3,a4,a6] |
Generators |
[565:9780:1] |
Generators of the group modulo torsion |
j |
-10562417119034929/20894462400 |
j-invariant |
L |
4.0478355138711 |
L(r)(E,1)/r! |
Ω |
0.12981646359674 |
Real period |
R |
2.5984348734374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550fe1 7770w1 |
Quadratic twists by: -3 5 |