Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545k |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-6718346145 = -1 · 35 · 5 · 76 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -2 7 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1765,-29548] |
[a1,a2,a3,a4,a6] |
Generators |
[114400:275956:2197] |
Generators of the group modulo torsion |
j |
-5168743489/57105 |
j-invariant |
L |
3.485724964212 |
L(r)(E,1)/r! |
Ω |
0.36804100140289 |
Real period |
R |
9.4710234754431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103635r1 705e1 |
Quadratic twists by: -3 -7 |