Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98838bd |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-9.2789716304983E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12036182,-16724265627] |
[a1,a2,a3,a4,a6] |
Generators |
[8003:628041:1] |
Generators of the group modulo torsion |
j |
-10958947844677561/527325520896 |
j-invariant |
L |
12.766162785406 |
L(r)(E,1)/r! |
Ω |
0.040413834388166 |
Real period |
R |
3.9485744691959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32946a1 5814o1 |
Quadratic twists by: -3 17 |