Atkin-Lehner |
2+ 3+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810i |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17297280 |
Modular degree for the optimal curve |
Δ |
2.2741246125E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 6 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1089170037,13834943702829] |
[a1,a2,a3,a4,a6] |
j |
142892939058808962191060410205401/22741246125000000000 |
j-invariant |
L |
1.4790793506349 |
L(r)(E,1)/r! |
Ω |
0.12325661255284 |
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 |
92430bd1 |
Quadratic twists by: -3 |