Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700bh |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15120000 |
Modular degree for the optimal curve |
Δ |
5.8022322300305E+25 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-209693000,1109811092500] |
[a1,a2,a3,a4,a6] |
Generators |
[-51832:544513431:512] |
Generators of the group modulo torsion |
j |
5755981643735040/327520882997 |
j-invariant |
L |
5.9117113708514 |
L(r)(E,1)/r! |
Ω |
0.061657586992276 |
Real period |
R |
4.7939853480864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84700e1 7700i1 |
Quadratic twists by: 5 -11 |