Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700u |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
6768000 |
Modular degree for the optimal curve |
Δ |
-3.0267335891142E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8970458,13307247537] |
[a1,a2,a3,a4,a6] |
Generators |
[836:-79947:1] |
Generators of the group modulo torsion |
j |
-12772843608175578880/4842773742582783 |
j-invariant |
L |
4.9218413202538 |
L(r)(E,1)/r! |
Ω |
0.11050175765538 |
Real period |
R |
0.371173682162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98700y1 |
Quadratic twists by: 5 |