Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702bi |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-78611768052535872 = -1 · 26 · 33 · 710 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1329404,-589796609] |
[a1,a2,a3,a4,a6] |
j |
-34068278205171/10307264 |
j-invariant |
L |
4.2179235848304 |
L(r)(E,1)/r! |
Ω |
0.07029872641384 |
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 |
77616dg1 9702f1 9702bd1 106722w1 |
Quadratic twists by: -4 -3 -7 -11 |