Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602j |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-1276554762 = -1 · 2 · 33 · 73 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -3 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-220,2108] |
[a1,a2,a3,a4,a6] |
Generators |
[58:401:1] |
Generators of the group modulo torsion |
j |
-16974593/18522 |
j-invariant |
L |
6.6570212543331 |
L(r)(E,1)/r! |
Ω |
1.3893810455976 |
Real period |
R |
0.26618652620428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70602c1 |
Quadratic twists by: 41 |