Atkin-Lehner |
2+ 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498i |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
941976 = 23 · 33 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 6 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
2299563/712 |
j-invariant |
L |
4.6359652492599 |
L(r)(E,1)/r! |
Ω |
2.0860679569169 |
Real period |
R |
1.111173112333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498bg1 78498b1 |
Quadratic twists by: -3 -7 |