Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770r |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16515840 |
Modular degree for the optimal curve |
Δ |
-1.2760650010739E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -7 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27920790,-162222626444] |
[a1,a2,a3,a4,a6] |
Generators |
[807116365:91307432794:68921] |
Generators of the group modulo torsion |
j |
3302016823650182293081439/17504321002385569873920 |
j-invariant |
L |
3.4222775908598 |
L(r)(E,1)/r! |
Ω |
0.03567024717535 |
Real period |
R |
11.992759589092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590r1 |
Quadratic twists by: -3 |