Atkin-Lehner |
5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
35035d |
Isogeny class |
Conductor |
35035 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
-17313981089405 = -1 · 5 · 72 · 114 · 136 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 11+ 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15156,739234] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-791:1] |
Generators of the group modulo torsion |
j |
-7857478707812881/353346552845 |
j-invariant |
L |
1.7080925162356 |
L(r)(E,1)/r! |
Ω |
0.68589342307883 |
Real period |
R |
0.20752647310821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35035i1 |
Quadratic twists by: -7 |