Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938s |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
39744000 |
Modular degree for the optimal curve |
Δ |
-6.3408345599091E+24 |
Discriminant |
Eigenvalues |
2- 3 -3 -2 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122893794,538220599777] |
[a1,a2,a3,a4,a6] |
Generators |
[-187557:27848261:27] |
Generators of the group modulo torsion |
j |
-400921744371182188137/12384898975268864 |
j-invariant |
L |
14.311128362498 |
L(r)(E,1)/r! |
Ω |
0.074971743675395 |
Real period |
R |
1.9088696166937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358f1 69938v1 |
Quadratic twists by: -11 17 |