Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376l |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-6041252346624 = -1 · 28 · 37 · 115 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- -3 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4071,-61821] |
[a1,a2,a3,a4,a6] |
Generators |
[30:297:1] |
Generators of the group modulo torsion |
j |
29139384194048/23598641979 |
j-invariant |
L |
8.4274850304597 |
L(r)(E,1)/r! |
Ω |
0.41921341566227 |
Real period |
R |
0.57437400042216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17688a1 106128h1 |
Quadratic twists by: -4 -3 |