Atkin-Lehner |
3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525l |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-422454076171875 = -1 · 312 · 59 · 11 · 37 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-24333,1772318] |
[a1,a2,a3,a4,a6] |
j |
-815827779584/216296487 |
j-invariant |
L |
2.0175851329336 |
L(r)(E,1)/r! |
Ω |
0.50439628323409 |
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 |
91575bv1 30525bb1 |
Quadratic twists by: -3 5 |