Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574n |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-29999839930368 = -1 · 211 · 3 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1201,263509] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:515:1] |
Generators of the group modulo torsion |
j |
-13475473/2107392 |
j-invariant |
L |
2.6364033580939 |
L(r)(E,1)/r! |
Ω |
0.5410726087965 |
Real period |
R |
1.2181375083639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722gr1 5082m1 35574cc1 |
Quadratic twists by: -3 -7 -11 |