Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446i |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.2829370138338E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1955797344,-34076795213880] |
[a1,a2,a3,a4,a6] |
Generators |
[29466164977960782231415378400353833388833244969346128992301330755:-1803132707144496102299048567075657474556889528491681530010107166080:557351808123040191220861585979929340312388502239605300627061] |
Generators of the group modulo torsion |
j |
-7032456078362843803302523897/194046444409543053057576 |
j-invariant |
L |
4.145373067213 |
L(r)(E,1)/r! |
Ω |
0.011332659124933 |
Real period |
R |
91.447493072798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778j4 |
Quadratic twists by: -7 |