Atkin-Lehner |
2+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10010f |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
221961497899581440 = 214 · 5 · 76 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2413624,1442906886] |
[a1,a2,a3,a4,a6] |
j |
1555006827939811751684089/221961497899581440 |
j-invariant |
L |
0.60771657237745 |
L(r)(E,1)/r! |
Ω |
0.30385828618873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
80080v1 90090dr1 50050bm1 70070w1 |
Quadratic twists by: -4 -3 5 -7 |