Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490cx |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
9.4297662573953E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17532655,-24093667915] |
[a1,a2,a3,a4,a6] |
Generators |
[-1741:34890:1] |
Generators of the group modulo torsion |
j |
56205213778689877/8892231425280 |
j-invariant |
L |
8.5435034739443 |
L(r)(E,1)/r! |
Ω |
0.074567416446836 |
Real period |
R |
2.3869628879267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470by1 35490d1 |
Quadratic twists by: -3 13 |