Atkin-Lehner |
2+ 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670j |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-403683131250 = -1 · 2 · 32 · 55 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1592,-17702] |
[a1,a2,a3,a4,a6] |
Generators |
[13:67:1] |
Generators of the group modulo torsion |
j |
3789119879/3431250 |
j-invariant |
L |
2.7641283996551 |
L(r)(E,1)/r! |
Ω |
0.51957470516296 |
Real period |
R |
1.3299956567346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1830e1 |
Quadratic twists by: -7 |