Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
35784l |
Isogeny class |
Conductor |
35784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
-1948160873401344 = -1 · 210 · 313 · 75 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -3 -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8709,2100422] |
[a1,a2,a3,a4,a6] |
Generators |
[143:2504:1] |
Generators of the group modulo torsion |
j |
97859073308/2609740539 |
j-invariant |
L |
6.3870944402786 |
L(r)(E,1)/r! |
Ω |
0.35101342241638 |
Real period |
R |
4.5490386067786 |
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 |
71568o1 11928e1 |
Quadratic twists by: -4 -3 |