Atkin-Lehner |
2+ 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602a |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
6640717934592 = 212 · 39 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -3 -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2915565,1914947613] |
[a1,a2,a3,a4,a6] |
Generators |
[986:-461:1] |
Generators of the group modulo torsion |
j |
1630513562870774583625/3950456832 |
j-invariant |
L |
2.0881416275846 |
L(r)(E,1)/r! |
Ω |
0.49181209405723 |
Real period |
R |
1.0614529674634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70602m1 |
Quadratic twists by: 41 |