Atkin-Lehner |
3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35175s |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5330112 |
Modular degree for the optimal curve |
Δ |
-3.4219492200003E+22 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -2 6 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3087658,9142843368] |
[a1,a2,a3,a4,a6] |
j |
-5208724728884055961600/54751187520005346027 |
j-invariant |
L |
1.1893747338324 |
L(r)(E,1)/r! |
Ω |
0.099114561151443 |
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 |
105525br1 35175v1 |
Quadratic twists by: -3 5 |