Atkin-Lehner |
2+ 3+ 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270b |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-87179935132800 = -1 · 27 · 33 · 52 · 173 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67755,6820101] |
[a1,a2,a3,a4,a6] |
Generators |
[93:1101:1] |
Generators of the group modulo torsion |
j |
-1274053315347599787/3228886486400 |
j-invariant |
L |
4.1186122220625 |
L(r)(E,1)/r! |
Ω |
0.60685567349497 |
Real period |
R |
1.6967016999509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025949 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90270r2 |
Quadratic twists by: -3 |