Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bx |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-78251636542464 = -1 · 210 · 310 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15157,-829835] |
[a1,a2,a3,a4,a6] |
Generators |
[24523464519:-153787941460:149721291] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
7.3736087690172 |
L(r)(E,1)/r! |
Ω |
0.21281033824515 |
Real period |
R |
17.324366878099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488hs1 6468m1 2112q1 |
Quadratic twists by: -4 8 -7 |