Atkin-Lehner |
2+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6970c |
Isogeny class |
Conductor |
6970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
473960000 = 26 · 54 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-314,1836] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:68:1] [4:23:1] |
Generators of the group modulo torsion |
j |
3408183162649/473960000 |
j-invariant |
L |
2.736534568492 |
L(r)(E,1)/r! |
Ω |
1.5976147962656 |
Real period |
R |
0.85644379824461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55760o1 62730bf1 34850p1 118490i1 |
Quadratic twists by: -4 -3 5 17 |