Atkin-Lehner |
3+ 5- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119325g |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224000 |
Modular degree for the optimal curve |
Δ |
-755103515625 = -1 · 35 · 59 · 37 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -3 -5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9325,345250] |
[a1,a2,a3,a4,a6] |
Generators |
[54:26:1] |
Generators of the group modulo torsion |
j |
-45921171941/386613 |
j-invariant |
L |
6.489223685755 |
L(r)(E,1)/r! |
Ω |
0.90353271585181 |
Real period |
R |
3.5910286159964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119325t1 |
Quadratic twists by: 5 |