Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bs |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-188558999104573440 = -1 · 212 · 36 · 5 · 7 · 715 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 4 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-466520,-124257360] |
[a1,a2,a3,a4,a6] |
j |
-2741419489343595481/46034911890765 |
j-invariant |
L |
1.8249410835695 |
L(r)(E,1)/r! |
Ω |
0.091247068993257 |
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 |
7455f1 |
Quadratic twists by: -4 |