Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475ca |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-230436145883671875 = -1 · 36 · 57 · 77 · 173 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -6 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-173133,36029144] |
[a1,a2,a3,a4,a6] |
Generators |
[-432:5512:1] [-2406:62471:8] |
Generators of the group modulo torsion |
j |
-312217698304/125355195 |
j-invariant |
L |
9.827145434369 |
L(r)(E,1)/r! |
Ω |
0.29451739192763 |
Real period |
R |
0.11585744575196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12495d1 8925a1 |
Quadratic twists by: 5 -7 |