Atkin-Lehner |
2- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
120274t |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-2401502212636912 = -1 · 24 · 75 · 116 · 712 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11- 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,30913,1090057] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:853:1] |
Generators of the group modulo torsion |
j |
1844124275447/1355585392 |
j-invariant |
L |
9.1827490087196 |
L(r)(E,1)/r! |
Ω |
0.29260581343674 |
Real period |
R |
0.78456651949194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
994b1 |
Quadratic twists by: -11 |