Atkin-Lehner |
2+ 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100430i |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1436160 |
Modular degree for the optimal curve |
Δ |
-813849006695904080 = -1 · 24 · 5 · 118 · 834 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-529378,154429636] |
[a1,a2,a3,a4,a6] |
Generators |
[39851:3314179:343] |
Generators of the group modulo torsion |
j |
-76538283476281/3796665680 |
j-invariant |
L |
6.8126239601654 |
L(r)(E,1)/r! |
Ω |
0.2793997670706 |
Real period |
R |
2.0319224734288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999571194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100430bk1 |
Quadratic twists by: -11 |