Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700b |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-69028750000 = -1 · 24 · 57 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9800,373625] |
[a1,a2,a3,a4,a6] |
Generators |
[70:175:1] |
Generators of the group modulo torsion |
j |
-173408256/115 |
j-invariant |
L |
6.2078751929904 |
L(r)(E,1)/r! |
Ω |
1.0864273424943 |
Real period |
R |
0.31744594345754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540j1 112700k1 |
Quadratic twists by: 5 -7 |