Atkin-Lehner |
5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35035h |
Isogeny class |
Conductor |
35035 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8584704 |
Modular degree for the optimal curve |
Δ |
-1.6911726943114E+25 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 11- 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-54483443,-251212428336] |
[a1,a2,a3,a4,a6] |
j |
-152029933359345706438656/143747307185904296875 |
j-invariant |
L |
0.48147008283374 |
L(r)(E,1)/r! |
Ω |
0.026748337933923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5005c1 |
Quadratic twists by: -7 |