Atkin-Lehner |
3- 7- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
35511c |
Isogeny class |
Conductor |
35511 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4849920 |
Modular degree for the optimal curve |
Δ |
141273736829337 = 3 · 74 · 195 · 892 |
Discriminant |
Eigenvalues |
1 3- -2 7- -6 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-371569577,2756788553519] |
[a1,a2,a3,a4,a6] |
Generators |
[37560435:-18771797:3375] |
Generators of the group modulo torsion |
j |
5673409800974257815141577614217/141273736829337 |
j-invariant |
L |
6.1435401221143 |
L(r)(E,1)/r! |
Ω |
0.20923405877227 |
Real period |
R |
2.9362046304327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106533j1 |
Quadratic twists by: -3 |