Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780bt |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-429246563627910000 = -1 · 24 · 3 · 54 · 710 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1033230,-405815775] |
[a1,a2,a3,a4,a6] |
j |
-26990738785024/94974375 |
j-invariant |
L |
2.6948291852503 |
L(r)(E,1)/r! |
Ω |
0.074856373696918 |
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 |
108780c1 |
Quadratic twists by: -7 |