Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630n |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-550524514869000 = -1 · 23 · 318 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43012,-3632264] |
[a1,a2,a3,a4,a6] |
Generators |
[15967:2009524:1] |
Generators of the group modulo torsion |
j |
-179602476201258649/11235194181000 |
j-invariant |
L |
3.6359325511387 |
L(r)(E,1)/r! |
Ω |
0.16515880460173 |
Real period |
R |
3.6691277827053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890ez1 42630bc1 |
Quadratic twists by: -3 -7 |