Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658ca |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1113111817911838206 = -1 · 2 · 38 · 76 · 117 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73330,51326762] |
[a1,a2,a3,a4,a6] |
Generators |
[382:8702:1] |
Generators of the group modulo torsion |
j |
-370656835366537/9461294340894 |
j-invariant |
L |
4.9033156721363 |
L(r)(E,1)/r! |
Ω |
0.23051014131991 |
Real period |
R |
0.18992485083584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2442d1 |
Quadratic twists by: -7 |