Atkin-Lehner |
2- 3+ 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
35178o |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-8.2972447232241E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,49508266,-35037635245] |
[a1,a2,a3,a4,a6] |
j |
13420134194879281384946549663/8297244723224146866029568 |
j-invariant |
L |
1.7005912965888 |
L(r)(E,1)/r! |
Ω |
0.04251478241503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
105534v3 |
Quadratic twists by: -3 |