Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810co |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
5100964626833510400 = 212 · 32 · 52 · 76 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7924860,8582892765] |
[a1,a2,a3,a4,a6] |
Generators |
[1453:-12487:1] |
Generators of the group modulo torsion |
j |
1169975873419524361/108425318400 |
j-invariant |
L |
9.1513102587766 |
L(r)(E,1)/r! |
Ω |
0.23191642682487 |
Real period |
R |
0.54804885158652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989362 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210b6 |
Quadratic twists by: -19 |