Atkin-Lehner |
2+ 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550r |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
-1.2632357810995E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,988924,386263298] |
[a1,a2,a3,a4,a6] |
j |
6845309169258215375/8084708999036928 |
j-invariant |
L |
0.99145011478435 |
L(r)(E,1)/r! |
Ω |
0.12393134013582 |
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 |
4902k1 |
Quadratic twists by: 5 |