Atkin-Lehner |
2- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70300a |
Isogeny class |
Conductor |
70300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
26404598452000000 = 28 · 56 · 194 · 373 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 5 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81933,4485263] |
[a1,a2,a3,a4,a6] |
Generators |
[13:1850:1] |
Generators of the group modulo torsion |
j |
15207071653888/6601149613 |
j-invariant |
L |
9.0544006988027 |
L(r)(E,1)/r! |
Ω |
0.33876850300875 |
Real period |
R |
0.74242772950424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2812a1 |
Quadratic twists by: 5 |