Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12495d |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-14747913336555 = -1 · 36 · 5 · 77 · 173 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -6 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6925,291003] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:661:1] |
Generators of the group modulo torsion |
j |
-312217698304/125355195 |
j-invariant |
L |
2.9312209889513 |
L(r)(E,1)/r! |
Ω |
0.65856090890614 |
Real period |
R |
1.1127372386178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37485bb1 62475ca1 1785l1 |
Quadratic twists by: -3 5 -7 |