Atkin-Lehner |
2- 3- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110bi |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2496000 |
Modular degree for the optimal curve |
Δ |
-3.7929163043138E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 4 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3786782,-2850797811] |
[a1,a2,a3,a4,a6] |
Generators |
[2997:111251:1] |
Generators of the group modulo torsion |
j |
-8237719285623370694809/52029030237500000 |
j-invariant |
L |
11.327972705571 |
L(r)(E,1)/r! |
Ω |
0.054092626210092 |
Real period |
R |
2.6177257184122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7790a1 |
Quadratic twists by: -3 |