Atkin-Lehner |
2+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770g |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
213840 |
Modular degree for the optimal curve |
Δ |
5763562240737280 = 227 · 5 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-92979,-10290738] |
[a1,a2,a3,a4,a6] |
Generators |
[-1496362356:5694699297:7645373] |
Generators of the group modulo torsion |
j |
755585074684441/48989470720 |
j-invariant |
L |
4.3471734305232 |
L(r)(E,1)/r! |
Ω |
0.2745157972048 |
Real period |
R |
15.835786045055 |
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 |
730d1 |
Quadratic twists by: -7 |