Atkin-Lehner |
2- 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380z |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-30285393750000 = -1 · 24 · 36 · 58 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4953,-296827] |
[a1,a2,a3,a4,a6] |
j |
-1152076147456/2596484375 |
j-invariant |
L |
1.0645637686237 |
L(r)(E,1)/r! |
Ω |
0.26614094142418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7820e1 |
Quadratic twists by: -3 |